Topological and non-topological soliton solutions of the Bretherton equation

Houria Triki; Ahmet Yildirim; T. Hayat; Omar M. Aldossar; Anjan Biswas

Topological and non-topological soliton solutions of the Bretherton equation

Houria Triki
, Ahmet Yildirim
, T. Hayat
, Omar M. Aldossar
, Anjan Biswas

Badji Mokhtar University
Ege University
University of South Florida
Qaid-i-Azam University
King Saud University
Delaware State University

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

This paper studies the topological and non-topological 1-soliton solutions to the Bretherton equation. The solitary wave ansatz method, also known as the trial solution method, is used to carry out the integration of the this equation. The 1-soliton solution as well as the shock wave solution is retrieved using this method. The constraint relation between the parameters and coefficients are also obtained for the existence of these kinds of nonlinear waves.

Original language	English
Pages (from-to)	103-108
Number of pages	6
Journal	Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
Volume	13
Issue number	2
State	Published - Apr 2012
Externally published	Yes

Keywords

Evolution equations
Integrability
Solitons

Cite this

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title = "Topological and non-topological soliton solutions of the Bretherton equation",

abstract = "This paper studies the topological and non-topological 1-soliton solutions to the Bretherton equation. The solitary wave ansatz method, also known as the trial solution method, is used to carry out the integration of the this equation. The 1-soliton solution as well as the shock wave solution is retrieved using this method. The constraint relation between the parameters and coefficients are also obtained for the existence of these kinds of nonlinear waves.",

keywords = "Evolution equations, Integrability, Solitons",

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AU - Triki, Houria

AU - Yildirim, Ahmet

AU - Hayat, T.

AU - Aldossar, Omar M.

AU - Biswas, Anjan

PY - 2012/4

Y1 - 2012/4

N2 - This paper studies the topological and non-topological 1-soliton solutions to the Bretherton equation. The solitary wave ansatz method, also known as the trial solution method, is used to carry out the integration of the this equation. The 1-soliton solution as well as the shock wave solution is retrieved using this method. The constraint relation between the parameters and coefficients are also obtained for the existence of these kinds of nonlinear waves.

AB - This paper studies the topological and non-topological 1-soliton solutions to the Bretherton equation. The solitary wave ansatz method, also known as the trial solution method, is used to carry out the integration of the this equation. The 1-soliton solution as well as the shock wave solution is retrieved using this method. The constraint relation between the parameters and coefficients are also obtained for the existence of these kinds of nonlinear waves.

KW - Evolution equations

KW - Integrability

KW - Solitons

UR - https://www.scopus.com/pages/publications/84872411208

M3 - Article

AN - SCOPUS:84872411208

SN - 1454-9069

VL - 13

SP - 103

EP - 108

JO - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

JF - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

IS - 2

ER -

Topological and non-topological soliton solutions of the Bretherton equation

Abstract

Keywords

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