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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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 201; no. 1; pp. 489 - 503
Main Author:	Wazwaz, Abdul-Majid
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 15.07.2008 Elsevier
Subjects:	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
Online Access:	Get full text
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