Topological and non-topological solitons of a generalized derivative nonlinear Schrödinger's equation with perturbation terms

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

Topological and non-topological solitons of a generalized derivative nonlinear Schrödinger's equation with perturbation terms

Houria Triki
, Ahmet Yildirim
, T. Hayat
, Omar M. Aldossary
, 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

27 Scopus citations

Abstract

This paper studies a generalized form of the derivative nonlinear Schrödinger equation, describing Alfven waves in plasmas with perturbation terms. The perturbation terms that are considered are dissipative term and higher order nonlinearity term. The solitary wave ansatz is used to carry out the integration and the exact topological and non-topological soliton solutions are obtained. Parametric restrictions for the existence of the exact solutions are given.

Original language	English
Pages (from-to)	672-684
Number of pages	13
Journal	Romanian Reports in Physics
Volume	64
Issue number	3
State	Published - 2012
Externally published	Yes

Keywords

Nonlinear Schrödinger equation
Topological and non-topological solitons

Cite this

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title = "Topological and non-topological solitons of a generalized derivative nonlinear Schr{\"o}dinger's equation with perturbation terms",

abstract = "This paper studies a generalized form of the derivative nonlinear Schr{\"o}dinger equation, describing Alfven waves in plasmas with perturbation terms. The perturbation terms that are considered are dissipative term and higher order nonlinearity term. The solitary wave ansatz is used to carry out the integration and the exact topological and non-topological soliton solutions are obtained. Parametric restrictions for the existence of the exact solutions are given.",

keywords = "Nonlinear Schr{\"o}dinger equation, Topological and non-topological solitons",

author = "Houria Triki and Ahmet Yildirim and T. Hayat and Aldossary, \{Omar M.\} and Anjan Biswas",

year = "2012",

language = "English",

volume = "64",

pages = "672--684",

journal = "Romanian Reports in Physics",

issn = "1221-1451",

publisher = "Publishing House of the Romanian Academy",

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T1 - Topological and non-topological solitons of a generalized derivative nonlinear Schrödinger's equation with perturbation terms

AU - Triki, Houria

AU - Yildirim, Ahmet

AU - Hayat, T.

AU - Aldossary, Omar M.

AU - Biswas, Anjan

PY - 2012

Y1 - 2012

N2 - This paper studies a generalized form of the derivative nonlinear Schrödinger equation, describing Alfven waves in plasmas with perturbation terms. The perturbation terms that are considered are dissipative term and higher order nonlinearity term. The solitary wave ansatz is used to carry out the integration and the exact topological and non-topological soliton solutions are obtained. Parametric restrictions for the existence of the exact solutions are given.

AB - This paper studies a generalized form of the derivative nonlinear Schrödinger equation, describing Alfven waves in plasmas with perturbation terms. The perturbation terms that are considered are dissipative term and higher order nonlinearity term. The solitary wave ansatz is used to carry out the integration and the exact topological and non-topological soliton solutions are obtained. Parametric restrictions for the existence of the exact solutions are given.

KW - Nonlinear Schrödinger equation

KW - Topological and non-topological solitons

UR - https://www.scopus.com/pages/publications/84870027025

M3 - Article

AN - SCOPUS:84870027025

SN - 1221-1451

VL - 64

SP - 672

EP - 684

JO - Romanian Reports in Physics

JF - Romanian Reports in Physics

IS - 3

ER -

Topological and non-topological solitons of a generalized derivative nonlinear Schrödinger's equation with perturbation terms

Abstract

Keywords

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