Deformed soliton, breather, and rogue wave solutions of an inhomogeneous nonlinear Schrdinger equation

We use the 1-fold Darboux transformation （DT） of an inhomogeneous nonlinear Schrdinger equation （INLSE） to construct the deformed-soliton, breather, and rogue wave solutions explicitly. Furthermore, the obtained first-order deformed rogue wave solution, which is derived from the deformed breather s...

Full description

Saved in:
Bibliographic Details
Published in中国物理B：英文版 no. 7; pp. 237 - 241
Main Author 陶勇胜 贺劲松 K. Porsezian
Format Journal Article
LanguageEnglish
Published 2013
Subjects
不均匀性
呼吸
孤子
构造变形
泰勒展开
薛定谔方程
达布变换
非线性
Online AccessGet full text

Cover

More Information
Summary:We use the 1-fold Darboux transformation （DT） of an inhomogeneous nonlinear Schrdinger equation （INLSE） to construct the deformed-soliton, breather, and rogue wave solutions explicitly. Furthermore, the obtained first-order deformed rogue wave solution, which is derived from the deformed breather solution through the Taylor expansion, is different from the known rogue wave solution of the nonlinear Schrdinger equation （NLSE）. The effect of inhomogeneity is fully reflected in the variable height of the deformed soliton and the curved background of the deformed breather and rogue wave. By suitably adjusting the physical parameter, we show that a desired shape of the rogue wave can be generated. In particular, the newly constructed rogue wave can be reduced to the corresponding rogue wave of the nonlinear Schrdinger equation under a suitable parametric condition.
Bibliography:Tao Yong-Sheng, He Jing-Song, K. Porsezian a） Department of Mathematics, Ningbo University, Ningbo 315211, China b） Department of Physics, Pondicherry University, Puducherry 605014, India
11-5639/O4
We use the 1-fold Darboux transformation （DT） of an inhomogeneous nonlinear Schrdinger equation （INLSE） to construct the deformed-soliton, breather, and rogue wave solutions explicitly. Furthermore, the obtained first-order deformed rogue wave solution, which is derived from the deformed breather solution through the Taylor expansion, is different from the known rogue wave solution of the nonlinear Schrdinger equation （NLSE）. The effect of inhomogeneity is fully reflected in the variable height of the deformed soliton and the curved background of the deformed breather and rogue wave. By suitably adjusting the physical parameter, we show that a desired shape of the rogue wave can be generated. In particular, the newly constructed rogue wave can be reduced to the corresponding rogue wave of the nonlinear Schrdinger equation under a suitable parametric condition.
inhomogeneous nonlinear Schrdinger equation;Lax pair;Darboux transformation;soliton
ISSN:1674-1056
2058-3834