Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

Yi A. Li; Jerry L. Bona

doi:10.1137/0527039

Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves

SIAM Journal on Mathematical Analysis ◽

10.1137/0527039 ◽

1996 ◽

Vol 27 (3) ◽

pp. 725-737 ◽

Cited By ~ 24

Author(s):

Yi A. Li ◽

Jerry L. Bona

Keyword(s):

Solitary Wave ◽

Long Waves ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Model Equations

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On the stability of solitary-wave solutions of model equations for long waves

Journal of Nonlinear Science ◽

10.1007/bf02430641 ◽

1994 ◽

Vol 4 (1) ◽

pp. 449-470 ◽

Cited By ~ 36

Author(s):

J. L. Bona ◽

A. Soyeur

Keyword(s):

Solitary Wave ◽

Long Waves ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Model Equations ◽

The Stability

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Sufficient conditions for stability of solitary-wave solutions of model equations for long waves

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(87)90084-4 ◽

1987 ◽

Vol 24 (1-3) ◽

pp. 343-366 ◽

Cited By ~ 68

Author(s):

J.P. Albert ◽

J.L. Bona ◽

D.B. Henry

Keyword(s):

Solitary Wave ◽

Sufficient Conditions ◽

Long Waves ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Model Equations

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Positivity Properties and Stability of Solitary–Wave Solutions of Model Equations For Long Waves

Communications in Partial Differential Equations ◽

10.1080/03605309208820831 ◽

1992 ◽

Vol 17 (1-2) ◽

pp. 1-22 ◽

Cited By ~ 34

Author(s):

John P. Albert

Keyword(s):

Solitary Wave ◽

Long Waves ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Model Equations

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Solitary-wave solutions for some model equations for waves in nonlinear dispersive media

Applications of Methods of Functional Analysis to Problems in Mechanics - Lecture Notes in Mathematics ◽

10.1007/bfb0088757 ◽

1976 ◽

pp. 207-218 ◽

Cited By ~ 4

Author(s):

J. L. Bona ◽

D. K. Bose ◽

T. B. Benjamin

Keyword(s):

Solitary Wave ◽

Dispersive Media ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Model Equations

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Solitary-wave solutions to a class of fifth-order model equations

Nonlinearity ◽

10.1088/0951-7715/11/2/009 ◽

1998 ◽

Vol 11 (2) ◽

pp. 341-353 ◽

Cited By ~ 12

Author(s):

M D Groves

Keyword(s):

Solitary Wave ◽

Solitary Wave Solutions ◽

Order Model ◽

Wave Solutions ◽

Model Equations ◽

Fifth Order

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Stability and symmetry of solitary-wave solutions to systems modeling interactions of long waves

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(00)00157-4 ◽

2000 ◽

Vol 79 (3) ◽

pp. 195-226 ◽

Cited By ~ 4

Author(s):

John Albert ◽

Felipe Linares

Keyword(s):

Solitary Wave ◽

Long Waves ◽

Systems Modeling ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Modeling Interactions

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On the solitary wave solutions of modified Benjamin–Bona–Mahony equation for unidirectional propagation of long waves

Pramana ◽

10.1007/s12043-020-01998-7 ◽

2020 ◽

Vol 94 (1) ◽

Author(s):

A K Gupta ◽

J Hazarika

Keyword(s):

Solitary Wave ◽

Long Waves ◽

Solitary Wave Solutions ◽

Wave Solutions

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Model Equations and Their Solitary Wave Solutions in Cylindrical Coordinate System

Communications in Theoretical Physics ◽

10.1088/0253-6102/13/1/103 ◽

1990 ◽

Vol 13 (1) ◽

pp. 103-107

Author(s):

Huang Guo-xiang ◽

Lou Sen-yue ◽

Dai Xian-xi

Keyword(s):

Solitary Wave ◽

Coordinate System ◽

Cylindrical Coordinate System ◽

Solitary Wave Solutions ◽

Wave Solutions ◽

Cylindrical Coordinate ◽

Model Equations

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Conservative Difference Scheme of Solitary Wave Solutions of the Generalized Regularized Long-Wave Equation

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-020-0468-7 ◽

2020 ◽

Vol 51 (4) ◽

pp. 1317-1342

Author(s):

Asma Rouatbi ◽

Manel Labidi ◽

Khaled Omrani

Keyword(s):

Wave Equation ◽

Solitary Wave ◽

Difference Scheme ◽

Solitary Wave Solutions ◽

Conservative Difference Scheme ◽

Wave Solutions ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Conservative Difference

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New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves by two analytical methods

Results in Physics ◽

10.1016/j.rinp.2021.104230 ◽

2021 ◽

Vol 25 ◽

pp. 104230

Author(s):

Shafqat-Ur-Rehman ◽

Muhammad Bilal ◽

Jamshad Ahmad

Keyword(s):

Solitary Wave ◽

Shallow Water ◽

Analytical Methods ◽

Water Waves ◽

Solitary Wave Solutions ◽

Shallow Water Waves ◽

Wave Solutions

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