Topological Soliton and Other Exact Solutions to KdV–Caudrey–Dodd–Gibbon Equation

Anjan Biswas; Ghodrat Ebadi; Houria Triki; Ahmet Yildirim; Nazila Yousefzadeh

doi:10.1007/s00025-011-0226-6

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Topological Soliton and Other Exact Solutions to KdV–Caudrey–Dodd–Gibbon Equation

Journal article

Peer reviewed

Topological Soliton and Other Exact Solutions to KdV–Caudrey–Dodd–Gibbon Equation

Anjan Biswas, Ghodrat Ebadi, Houria Triki, Ahmet Yildirim and Nazila Yousefzadeh

Resultate der Mathematik, Vol.63(1-2), pp.687-703

01/02/2013

DOI: https://doi.org/10.1007/s00025-011-0226-6

Abstract

Article

general

Mathematics

Mathematics and Statistics

This paper studies the KdV–Caudrey–Dodd–Gibbon equation. The modified F -expansion method, exp-function method as well as the G ′/ G method are used to extract a few exact solutions to this equation. Later, the ansatz method is used to obtain the topological 1-soliton solution to this equation. The constraint conditions are also obtained that must remain valid for the existence of these solutions.

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Title: Topological Soliton and Other Exact Solutions to KdV–Caudrey–Dodd–Gibbon Equation
Creators - without role: Anjan Biswas - Delaware State University
Ghodrat Ebadi - University of Tabriz
Houria Triki - Badji Mokhtar University
Ahmet Yildirim - Ege University
Nazila Yousefzadeh - University of Tabriz
Publication Details: Resultate der Mathematik, Vol.63(1-2), pp.687-703
Publisher: SP Birkhäuser Verlag Basel
Identifiers: 9939949908331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article