Publications of Jerry Bona
On ill-posedness of truncated series models for water waves.
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.,
470(2166):20130849, 16, 2014.
MR3190218
Well-posedness for the BBM-equation in a quarter plane.
Discrete Contin. Dyn. Syst. Ser. S,
7(6):1149--1163, 2014.
MR3228871
Dispersive blow-up for nonlinear Schrödinger equations revisited.
J. Math. Pures Appl. (9),
102(4):782--811, 2014.
MR3258130
Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities.
Nagoya Math. J.,
215:67--149, 2014.
MR3263526
Global Well-posedness for a System of KdV-type Equations with Coupled Quadratic Nonlinearities.
Nagoya Math. J. ,
Volume 215 :67-149, 2014.
Global Well-posedness for the BBM-equation in a Quarter Plane .
Discrete Cont. Dynamical Sys. Series S,
7(6):1-15, 2014.
Dispersive Blow-up for Nonlinear Schrodinger Equations Revisited.
Journal de Mathematiques Pures et Appliques,
, 2014.
On ill-posedness of truncated series models for water waves.
Proceedings of the Royal Society of London, Series A,
470:1-16, 2014.
Stability of sollitary-wave solutions of systems of dispersive equations.
2014.
Stability and Decay Properties of Solitary-wave Solutions to the Generalized BO-ZK Equation.
2014.
Propagation of long-crested water waves.
Discrete Contin. Dyn. Syst.,
33(2):599--628, 2013.
MR2975126
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation.
Math. Comp.,
82(283):1401--1432, 2013.
MR3042569
Singularity formation and blowup of complex-valued solutions of the modified KdV equation.
Discrete Contin. Dyn. Syst.,
33(11-12):4811--4840, 2013.
MR3060816
Periodic traveling-wave solutions of nonlinear dispersive evolution equations.
Discrete Contin. Dyn. Syst.,
33(11-12):4841--4873, 2013.
MR3060817
Propagation of Long-Crested Water Waves.
Discrete Cont. Dynamical Sys. Series A,
33(2):599-628, 2013.
Periodic Traveling-wave Solutions of Nonlinear Dispersive Evolution Equations.
Discrete Cont. Dynamical Sys. Series A,
33:4841-4873, 2013. Invited paper for a special volume in honor of Jerry Goldstein's 70th birthday.
Singularity Formation and Blowup of Complex-valued Solutions of the modified KdV-equation.
Discrete Cont. Dynamical Sys. Series A,
33(11/12):4811-4840, 2013.
Conservative, Discontinuous Galerkin–methods for the Generalized Korteweg–de Vries Equation.
Math. Comp. ,
82:1401-1432, 2013.
Higher-order models for unidirectional water waves.
2013.
Well-posedness of a model for water waves with viscosity.
Discrete Contin. Dyn. Syst. Ser. B,
17(4):1113--1137, 2012.
MR2899939
Foreword [Special issue on ``Nonlinear Waves: Computation and Theory-IX, WAVES2009''].
Math. Comput. Simulation,
82(6):945, 2012.
MR2903336
Preface [Special issue dedicated to the memory of Professor Vladimir Varlamov].
Anal. Math. Phys.,
2(4):319--324, 2012.
MR2995231
Seasonal and interseasonal variability of sand bars at Duck, NC, USA. Observations and model predictions.
2012.
Preface: Claude-Michel Brauner on the occasion of his 60th birthday.
Discrete Contin. Dyn. Syst. Ser. S,
4(1):i--iv, 2011.
MR2746391
Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation.
Discrete Contin. Dyn. Syst. Ser. S,
4(1):15--50, 2011.
MR2746393
Hopf bifurcation for two-dimensional doubly diffusive convection.
Appl. Anal.,
90(1):5--30, 2011. Invited paper in a volume honoring V. Solonikov.
MR2763532
Traveling fronts of a conservation law with hyper-dissipation.
Adv. Differential Equations,
16(9-10):917--935, 2011.
MR2850758
Special issue dedicated to Claude-Michel Brauner on the occasion of his 60th birthday, volume 4 of Series S.
Discrete and Continuous Dynamical Systems, 2011.
A KdV-type Boussinesq system: from the energy level to analytic spaces.
Discrete Contin. Dyn. Syst.,
26(4):1121--1139, 2010.
MR2600738
Stability of solitary-wave solutions to the Hirota-Satsuma equation.
Discrete Contin. Dyn. Syst.,
27(4):1391--1413, 2010. Invited paper in a volume markng the 70th birthday of Roger Temam.
MR2629530
Approximating initial-value problems with two-point boundary-value problems: BBM-equation.
Bull. Iranian Math. Soc.,
36(1):1--25, 2010.
MR2743385
Dispersive blow-up II. Schrödinger-type equations, optical and oceanic rogue waves.
Chin. Ann. Math. Ser. B,
31(6):793--818, 2010.
MR2745206
Preface: Special issue on asymptotic description of natural phenomena.
Discrete Contin. Dyn. Syst.,
23(4):i--ii, 2009.
MR2461843
Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane.
Discrete Contin. Dyn. Syst.,
23(4):1141--1168, 2009.
MR2461845
Sharp well-posedness results for the BBM equation.
Discrete Contin. Dyn. Syst.,
23(4):1241--1252, 2009.
MR2461849
Well-posedness for regularized nonlinear dispersive wave equations.
Discrete Contin. Dyn. Syst.,
23(4):1253--1275, 2009.
MR2461850
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV.
Nonlinearity,
22(2):311--349, 2009.
MR2475549
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
J. Differential Equations,
247(9):2558--2596, 2009.
MR2568064
Mathematical model of the Drosophila circadian clock: loop and transcriptional integration.
Biophysics Journal,
97:2399-2408, 2009. The cover of the issue highlights this paper.
Asymptotic models for internal waves.
J. Math. Pures Appl. (9),
89(6):538--566, 2008.
MR2424620
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations.
Nonlinearity,
21(10):T195--T203, 2008.
MR2439474
Numerical solution of Boussinesq systems of KdV-KdV type. II. Evolution of radiating solitary waves.
Nonlinearity,
21(12):2825--2848, 2008.
MR2461042
Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane.
Ann. Inst. H. Poincaré Anal. Non Linéaire,
25(6):1145--1185, 2008.
MR2466325
Nonlinear dispersive waves on trees.
Can. Appl. Math. Q.,
16(1):1--18, 2008.
MR2500096
Approximation by cubic splines generates highly specific discovery by microarrays.
Open Bioinformatics J.,
2:58-63, 2008.
Comparison of quarter-plane and two-point boundary vlaue problems: the KdV-equation.
Discrete Contin. Dyn. Syst. Ser. B,
7(3):465--495 (electronic), 2007.
MR2291853
Numerical solution of KdV-KdV systems of Boussinesq equations. I. The numerical scheme and generalized solitary waves.
Math. Comput. Simulation,
74(2-3):214--228, 2007.
MR2307859
On the stability of KdV multi-solitons.
Differential Integral Equations,
20(8):841--878, 2007.
MR2339841
Comparison of quarter-plane and two-point boundary value problems; the KdV equation.
Discrete Cont. Dynam. Systems, Series B,
7:465--495, 2007.
Comparisons between the BBM equation and a Boussinesq system.
Adv. Differential Equations,
11(2):121--166, 2006.
MR2194497
Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications.
Dyn. Partial Differ. Equ.,
3(1):1--69, 2006.
MR2221746
Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip.
J. Differential Equations,
229(1):186--203, 2006.
MR2265624
Stability of cnoidal waves.
Adv. Differential Equations,
11(12):1321--1374, 2006.
MR2276856
Microarray data analysis: Current practices and future directions.
Current Pharmacogenomics ,
4:209-218, 2006.
Wave generation by a moving boundary.
In Nonlinear partial differential equations and related analysis,
pages 41--71. Amer. Math. Soc., Providence, RI, 2005.
MR2143859
Comparison of quarter-plane and two-point boundary value problems: the BBM-equation.
Discrete Contin. Dyn. Syst.,
13(4):921--940, 2005.
MR2166711
Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation.
Ann. Inst. H. Poincaré Anal. Non Linéaire,
22(6):783--797, 2005.
MR2172859
Long wave approximations for water waves.
Arch. Ration. Mech. Anal.,
178(3):373--410, 2005.
MR2196497
Continuous evolution of functions and measures toward fixed points of contraction mappings.
In Fractals in engineering: new trends in theory and application,
pages 237--254. Springer-Verlag, 2005.
Extended equilibrium beach profiles.
Coastal Engineering,
52:727--744, 2005.
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory.
Nonlinearity,
17(3):925--952, 2004.
MR2057134
Singularity formation in the generalized Benjamin-Ono equation.
Discrete Contin. Dyn. Syst.,
11(1):27--45, 2004.
MR2073945
Stability of solitary waves in higher-order Sobolev spaces.
Commun. Math. Sci.,
2(1):35--52, 2004.
MR2082818
Conditional and unconditional well-posedness for nonlinear evolution equations.
Adv. Differential Equations,
9(3-4):241--265, 2004.
MR2100628
Fifth workshop on nonlinear differential equations, volume 27 of Matematica Contemporanea.
Sociedade Brasieira de Matematica: Rio de Janeiro, 2004.
Spatial analyticity properties of nonlinear waves.
Math. Models Methods Appl. Sci.,
13(3):345--360, 2003.
MR1977630
Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane.
Commun. Contemp. Math.,
5(3):369--400, 2003.
MR1992355
A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain.
Comm. Partial Differential Equations,
28(7-8):1391--1436, 2003.
MR1998942
Local and global well-posedness results for generalized BBM-type equations.
In Evolution equations,
pages 35--55. Dekker, New York, 2003.
MR2073734
Long wave approximations for water waves.
In Mathematical and numerical aspects of wave propagation---WAVES 2003,
pages 489--494. Springer, Berlin, 2003.
MR2078043
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane.
Trans. Amer. Math. Soc.,
354(2):427--490 (electronic), 2002.
MR1862556
Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation.
Adv. Differential Equations,
7(1):1--23, 2002.
MR1867702
Solitary waves in nonlinear dispersive systems.
Discrete Contin. Dyn. Syst. Ser. B,
2(3):313--378, 2002.
MR1898319
Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case.
Nonlinearity,
15(3):759--786, 2002.
MR1901105
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory.
J. Nonlinear Sci.,
12(4):283--318, 2002.
MR1915939
The zero-viscosity limit of the 2D Navier-Stokes equations.
Stud. Appl. Math.,
109(4):265--278, 2002.
MR1934651
The Cauchy problem and stability of solitary-wave solutions for RLW-KP-type equations.
J. Differential Equations,
185(2):437--482, 2002.
MR1935610
The legacy of the inverse scattering transform in applied mathematics, volume 301 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 2002.
MR1947357
Nonlinear waves: computation and theory.
Elsevier Science B.V., Amsterdam, 2001.
MR1822921
Stabilizing monetary-injection policies.
J. Econom. Theory,
98(1):127--157, 2001.
MR1832651
Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation.
Phys. D,
152/153:363--383, 2001.
MR1837918
Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations.
Indiana Univ. Math. J.,
50(2):759--782, 2001.
MR1871389
Models for internal waves in deep water.
Discrete Contin. Dynam. Systems,
6(1):1--20, 2000.
MR1739590
Nonlinear PDE's, dynamics and continuum physics, volume 255 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 2000.
MR1752497
Zero-dissipation limit for nonlinear waves.
M2AN Math. Model. Numer. Anal.,
34(2):275--301, 2000.
MR1765660
Solitary waves in a two-fluid system that includes surface tension.
In Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000),
pages 324--328. SIAM, Philadelphia, PA, 2000.
MR1785917
Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation.
J. Nonlinear Sci.,
10(6):603--638, 2000.
MR1799393
A generalized Korteweg-de Vries equation in a quarter plane.
In Applied analysis (Baton Rouge, LA, 1996),
pages 59--125. Amer. Math. Soc., Providence, RI, 1999.
MR1647197
Fourier splitting and dissipation of nonlinear dispersive waves.
Proc. Roy. Soc. Edinburgh Sect. A,
129(3):477--502, 1999.
MR1693637
On the structure of singularities in solutions of the nonlinear Schrödinger equation for the critical case, $p=4/n$.
In Nonlinear theory of generalized functions (Vienna, 1997),
pages 3--22. Chapman & Hall/CRC, Boca Raton, FL, 1999.
MR1699846
Similarity solutions of the generalized Korteweg-de Vries equation.
Math. Proc. Cambridge Philos. Soc.,
127(2):323--351, 1999.
MR1705463
Comparison of model equations for small-amplitude long waves.
Nonlinear Anal.,
38(5, Ser. B: Real World Appl.):625--647, 1999.
MR1709992
Solitary-wave solutions of the Benjamin equation.
SIAM J. Appl. Math.,
59(6):2139--2161 (electronic), 1999.
MR1726196
Sand bars at Duck, NC, USA. Observations and model predictions.
In Coastal sediments 99,
pages 491-504. American Soc. Civil Engr.: New York, 1999.
Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations.
Adv. Differential Equations,
3(1):51--84, 1998.
MR1608077
A Boussinesq system for two-way propagation of nonlinear dispersive waves.
Phys. D,
116(1-2):191--224, 1998.
MR1621920
Modeling the dynamics of the bar system at Duck, NC, USA.
In Proceedings of the 26th international conference on coastal engineering,
pages 2877-2887. American Soc. Civil Engr.: New York, 1998.
Model equations for waves in stratified fluids.
Proc. Roy. Soc. London Ser. A,
453(1961):1233--1260, 1997.
MR1455330
Decay and analyticity of solitary waves.
J. Math. Pures Appl. (9),
76(5):377--430, 1997.
MR1460665
Higher-order Boussinesq systems for two-way propagations of water waves.
In Proceedings of the Conference on Nonlinear Evolution Equations and Infinite-dimensional Dynamical Systems (Shanghai, 1995),
pages 5--12. World Sci. Publ., River Edge, NJ, 1997.
MR1659567
On the role of computation in economic theory.
J. Economic Th.,
72:241-281, 1997.
Sand bar dynamics and offshore beach norishment.
In Proceedings of coastal dynamics 97,
pages 873-882. American Soc. Civil Engr.: New York, 1997.
Nomination of Felix Browder.
Notices American Math. Soc.,
44:954-955, 1997. (Nomination of Browder for President of the AMS).
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation.
Adv. Differential Equations,
1(1):1--20, 1996.
MR1357952
Analyticity of solitary-wave solutions of model equations for long waves.
SIAM J. Math. Anal.,
27(3):725--737, 1996.
MR1382830
The initial-value problem for the forced Korteweg-de Vries equation.
Proc. Roy. Soc. Edinburgh Sect. A,
126(3):571--598, 1996.
MR1396279
An appreciation of T. Brooke Benjamin (1929--1995).
In Mathematical problems in the theory of water waves (Luminy, 1995),
pages xiii--xvi. Amer. Math. Soc., Providence, RI, 1996.
MR1410495
Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation.
In Mathematical problems in the theory of water waves (Luminy, 1995),
pages 17--29. Amer. Math. Soc., Providence, RI, 1996.
MR1410497
The effect of dissipation on solutions of the generalized Korteweg-de Vries equation.
J. Comput. Appl. Math.,
74(1-2):127--154, 1996.
MR1430371
Offshore nourishment of sand bars: a method of beach protection.
In Proceedings of the conférence canadienne sur le littoral,
pages 150-160. NSERC: Ottawa, 1996.
Wave groups in a barred nearshore.
In Silver anniversary international conference on coastal engineering,
pages 346-359. American Soc. Civil Engr.: New York, 1996.
Initial-boundary value problems for model equations for the propagation of long waves.
In Evolution equations (Baton Rouge, LA, 1992),
pages 63, 65--94. Dekker, New York, 1995.
MR1300420
On the comparison of solutions of model equations for long waves.
Mat. Contemp.,
8:21--37, 1995.
MR1330030
Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation.
Philos. Trans. Roy. Soc. London Ser. A,
351(1695):107--164, 1995.
MR1336983
The effect of change in the nonlinearity and the dispersion relation of model equations for long waves.
Canad. Appl. Math. Quart.,
3(1):1--41, 1995.
MR1341919
Three-dimensional model for the formation of longshore sand structures on the continental shelf.
Nonlinearity,
8(5):781--820, 1995.
MR1355043
More results on the decay of solutions to nonlinear, dispersive wave equations.
Discrete Contin. Dynam. Systems,
1(2):151--193, 1995.
MR1355869
Discretization of a model for the formation of longshore sand ridges.
J. Comput. Phys.,
122(1):129--142, 1995.
MR1358526
Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations.
Nonlinearity,
8(6):1179--1206, 1995.
MR1363406
Dynamics of sand bars in coastal zones.
In Proceedings of the international conference 'coastal dynamics 95', volume 1 of,
pages 862-867. American Soc. Civil Engr.: New York, 1995.
Models for propagation of bores. I. Two-dimensional theory.
Differential Integral Equations,
7(3-4):699--734, 1994.
MR1270099
On the stability of solitary-waves solutions of model equations for long waves.
J. Nonlinear Sci.,
4(5):449--470, 1994.
MR1291117
Solitons, nonlinear wave equations and computation.
Elsevier Science B.V., Amsterdam, 1994.
MR1308101
On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations.
Math. Comput. Simulation,
37(4-5):265--277, 1994.
MR1308103
On the role of computation in economic theory.
In Economie mathématique et finance mathématique,
pages 1-29. ENSAE: Paris, 1994.
Dispersive blowup of solutions of generalized Korteweg-de Vries equations.
J. Differential Equations,
103(1):3--57, 1993.
MR1218737
Decay of solutions to nonlinear, dispersive wave equations.
Differential Integral Equations,
6(5):961--980, 1993.
MR1230473
Beach dynamics and nourishment of offshore bars: Gold Coast, Australia.
In Proceedings of the international coastal geomorphology symposium ,
pages 224-229. J. Coastal Research, 1993.
On 'soft' protection of sandy beaches in wave dominated environments.
In Advances in hydro-science and engineering,
pages 1689-1696. University of Mississippi Press: University, Mississippi, 1993.
A model system for strong interaction between internal solitary waves.
Comm. Math. Phys.,
143(2):287--313, 1992.
MR1145797
A mathematical theory for viscous, free-surface flows over a perturbed plane.
Arch. Rational Mech. Anal.,
118(1):71--93, 1992.
MR1151927
Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation.
Appl. Numer. Math.,
10(3-4):335--355, 1992.
MR1181702
Relative size and comparative value in Byzantine illuminated manuscript: some quantitative perspectives .
In Paleografie e codicologia greca,
pages 339-353 and 187-190. Edizioni dell'Orso: Alessandria, Italy, 1992.
Numerical solutions of the generalized Korteweg - de Vries equation with adaptive Galerkin methods.
In Proceedings of the first national congress on computational mechanics,
pages 220-228. University of Patras Press: Patras, Greece, 1992.
Numerical approximation of blow-up and decay of solutions of the generalized Korteweg de Vries-Burgers equation.
In Proceedings of the ercim workshop on numerical methods for linear and nonlinear problems in wave propagation,
pages 69-78. FORTH: Heraklion, Greece, 1992.
The undergraduate major in the mathematical sciences.
In Heeding the call for change: suggestions for curricular action,
pages 227-247. Math. Assoc. America: Washington, D. C. , 1992. (MAA Notes 27).
Total positivity and the stability of internal waves in stratified fluids of finite depth.
IMA J. Appl. Math.,
46(1-2):1--19, 1991.
MR1106250
Comparisons between model equations for long waves.
J. Nonlinear Sci.,
1(3):345--374, 1991.
MR1135490
Fully-discrete methods with grid refinement for the generalized Korteweg-de Vries equation.
In Viscous profiles and numerical methods for shock waves (Raleigh, NC, 1990),
pages 1--11. SIAM, Philadelphia, PA, 1991.
MR1142637
Interaction of internal waves with the sea bed on continental shelves.
Continental Shelf Res.,
11:1181-1197, 1991.
Sediment transport, sand ridges and internal waves on continental shelves.
In Coastal sediments 91,
pages 527-541. American Soc. Civil Engr.: New York, 1991.
Solitary-wave solutions of nonlinear problems.
Philos. Trans. Roy. Soc. London Ser. A,
331(1617):195--244, 1990.
MR1062564
Priming the calculus pump: innovations and resources.
Math. Assoc. America: Washington, D. C. , 1990. (MAA Notes 17).
Decay of solutions of some nonlinear wave equations.
J. Differential Equations,
81(1):1--49, 1989.
MR1012198
On the structure of the equilibrium price set of overlapping-generations economies.
J. Math. Econom.,
18(3):209--230, 1989.
MR1014599
The existence of internal solitary waves in a two-fluid system near the KdV limit.
Geophys. Astrophys. Fluid Dynam.,
48(1-3):25--51, 1989.
MR1024692
Nonlocal models for nonlinear, dispersive waves.
Phys. D,
40(3):360--392, 1989.
MR1044731
The Korteweg-de Vries equation in a quarter plane, continuous dependence results.
Differential Integral Equations,
2(2):228--250, 1989.
MR984190
Modeling of sand bars in coastal environments.
In Sediment transport modeling,
pages 166-171. American Soc. Civil Engr.: New York, 1989.
Coastal sand bars and obliquely incident waves.
In Proceedings of the xxiii congress of the international association for hydraulic research,
pages 151-158. National Research Council: Ottawa, 1989.
Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation.
Comm. Math. Phys.,
118(1):15--29, 1988.
MR954673
A criterion for the formation of singularities for the generalized Korteweg-de Vries equation.
Mat. Apl. Comput.,
7(1):3--11, 1988.
MR965674
Sufficient conditions for stability of solitary-wave solutions of model equations for long waves.
Phys. D,
24(1-3):343--366, 1987.
MR887857
Dynamical problems in continuum physics, volume 4 of The IMA Volumes in Mathematics and its Applications.
Springer-Verlag, New York, 1987.
MR893394
Stability and instability of solitary waves of Korteweg-de Vries type.
Proc. Roy. Soc. London Ser. A,
411(1841):395--412, 1987.
MR897729
A model for sand ridge formation by progressive infragravity waves on the Scotian Shelf, Sable Island area.
In Coastal sediments 87,
pages 2157-2176. American Soc. Civil Engr.: New York, 1987.
Interaction of shallow-water waves and bottom topography.
In Dynamical problems in continuum mechanics,
pages 131-176. Springer-Verlag, 1987. (IMA seies in Mathematics and its Applications, Vol. 4).
Singularités dispersives de solutions d'équations de type Korteweg-de Vries.
C. R. Acad. Sci. Paris Sér. I Math.,
303(4):101--103, 1986.
MR853596
Fully discrete Galerkin methods for the Korteweg-de Vries equation.
Comput. Math. Appl. Ser. A,
12(7):859--884, 1986.
MR855787
Scale effects in modeling sandbar formation in coastal regions.
In Scale effects in modeling seidment transport phenomena,
pages 46-61. National Research Council: Ottawa, 1986.
Wave-dominated shelves: a model of sand-ridge formation by progressive, infragravity waves.
In Shelf sands and sandstones,
pages 163-179. Canadian Society of Petroleum Geologists, 1986.
Numerical schemes for a model for nonlinear dispersive waves.
J. Comput. Phys.,
60(2):167--186, 1985.
MR805869
Travelling-wave solutions to the Korteweg-de Vries-Burgers equation.
Proc. Roy. Soc. Edinburgh Sect. A,
101(3-4):207--226, 1985.
MR824222
On sediment transport rates and related time scales for sand bar formation in coastal zones.
In Proceedings of the 1985 canadian coastal conference,
pages 271-285. National Research Council: Ottawa, 1985.
The stability of internal solitary waves.
Math. Proc. Cambridge Philos. Soc.,
94(2):351--379, 1983.
MR715035
A comparison of solutions of two model equations for long waves.
In Fluid dynamics in astrophysics and geophysics (Chicago, Ill., 1981),
pages 235--267. Amer. Math. Soc., Providence, R.I., 1983.
MR716887
The Korteweg-de Vries equation, posed in a quarter-plane.
SIAM J. Math. Anal.,
14(6):1056--1106, 1983.
MR718811
Finite-amplitude steady waves in stratified fluids.
J. Math. Pures Appl. (9),
62(4):389--439 (1984), 1983.
MR735931
Stabiity of solitary-wave solutions of the Benjamin-Ono equation.
In Escola de matemática aplicada,
pages 207-214. Sociedade Brasileira de Matemática e Computacional: Rio de Janeiro, 1982.
Convergence of periodic wavetrains in the limit of large wavelength.
Appl. Sci. Res.,
37(1-2):21--30, 1981.
MR633079
An evaluation of a model equation for water waves.
Philos. Trans. Roy. Soc. London Ser. A,
302(1471):457--510, 1981.
MR633485
On solitary waves and their role in the evolution of long waves.
In Applications of nonlinear analysis in the physical sciences,
pages 183-205. Pitman: London, 1981.
Formation of sand bars by progressive waves on sandy coasts.
Mitteilungen des Leichtwei\beta - Instituts für Wasserbau der Technischen Universität Braunschweig,
70:377-420, 1981.
Model equations for waves in nonlinear dispersive systems.
In Proceedings of the International Congress of Mathematicians (Helsinki, 1978),
pages 887--894. Acad. Sci. Fennica, Helsinki, 1980.
MR562704
An initial and boundary value problem for a model equation for propagation of long waves.
J. Math. Anal. Appl.,
75(2):503--522, 1980.
MR581837
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