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Computing multi-soliton solutions to Caudrey-Dodd-Gibbon equation by Hirotas method

Acceso Cerrado
ID Minciencias: ART-0000396389-11
Ranking: ART-ART_B

Abstract:

In this paper, we make use of Hirota’s bilinear method to obtain multi-soliton solutions to Caudrey-Dodd-Gibbon equation by using Hirota’s bilinear method. This equation is the first transformed to its potential version and then the Cole-Hopf transformation is applied to it to obtain an equation that is transformed to a bilinear form. One and two soliton solutions are formally derived. Other solutions are obtained via limiting process. These solutions are illustrated graphically. A comparison with other methods to solve the mentioned equation is given in later in this paper. Key words: Caudrey-Dodd-Gibbon equation, Sawada-Kotera equation, nonlinear partial differential equation, fifth order Korteweg-de Vries equation, nonlinear evolution equation, one soliton solution, two soliton solution, travelling wave solution, Mathematica 8, Maple 15.

Tópico:

Nonlinear Waves and Solitons

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Citations: 21
21

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Información de la Fuente:

SCImago Journal & Country Rank
FuenteInternational Journal of the Physical Sciences
Cuartil año de publicaciónNo disponible
Volumen6
Issue34
Páginas7729 - 7737
pISSNNo disponible
ISSN1992-1950

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