The Hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves

Multiple-soliton solutions for three model equations for shallow water waves are determined. The three models are completely integrable. The Hirota bilinear method is used to determine multiple-soliton solutions of sech-squared type for these equations. The tanh–coth method is used to obtain single...

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Vydáno v:Applied mathematics and computation Ročník 201; číslo 1; s. 489 - 503
Hlavní autor: Wazwaz, Abdul-Majid
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY Elsevier Inc 15.07.2008
Elsevier
Témata:
Exact sciences and technology
Global analysis, analysis on manifolds
Hereman’s method
Hirota bilinear method
Mathematical analysis
Mathematics
Multiple-soliton solutions
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Sciences and techniques of general use
Shallow water waves equations
tanh–coth method
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Multiple-soliton solutions
Hereman’s method
tanh–coth method
Shallow water waves equations
Hirota bilinear method
Wave equation
Direct method
Polynomial
Numerical analysis
Applied mathematics
tanh-coth method
Hereman's method
Shallow water
Linear model
ISSN:0096-3003, 1873-5649
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Shrnutí:Multiple-soliton solutions for three model equations for shallow water waves are determined. The three models are completely integrable. The Hirota bilinear method is used to determine multiple-soliton solutions of sech-squared type for these equations. The tanh–coth method is used to obtain single soliton solutions and other solutions for these three models. The three models have different linear dispersion relations, but possess the same coefficients for the polynomials of exponentials.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.12.037