Localized Properties of Rogue Wave for a Higher-Order Nonlinear Schrodinger Equation

In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a...

Full description

Saved in:
Bibliographic Details
Published inCommunications in theoretical physics Vol. 63; no. 5; pp. 525 - 534
Main Author 柳伟 邱德勤 贺劲松
Format Journal Article
LanguageEnglish
Published 01.05.2015
Subjects
Determinants
Dispersions
Longitudinal waves
Mathematical analysis
NLS方程
Nonlinearity
Representations
Schroedinger equation
Transformations
局部化性质
行列式表示
达布变换
非线性Schrodinger方程
非线性效应
高阶非线性薛定谔方程
高阶项
Online AccessGet full text
ISSN0253-6102
1572-9494
DOI10.1088/0253-6102/63/5/525

Cover

More Information
Summary:In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a and ;3 which denote the contribution of the higher-order terms （dispersions and nonlinear effects） included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms.
Bibliography:rogue wave, higher-order nonlinear Schr6dinger equation, Darboux transformation
11-2592/O3
In this paper, we provide determinant representation of the n-th order rogue wave solutions for a higherorder nonlinear Schr6dinger equation （HONLS） by the Darboux transformation and confirm the decomposition rule of the rogue wave solutions up to fourth-order. These solutions have two parameters a and ;3 which denote the contribution of the higher-order terms （dispersions and nonlinear effects） included in the HONLS equation. Two localized properties, i.e., length and width of the first-order rogue wave solution are expressed by above two parameters, which show analytically a remarkable influence of higher-order terms on the rogue wave. Moreover, profiles of the higher-order rogue wave solutions demonstrate graphically a strong compression effect along t-direction given by higher-order terms.
LIU Wei , QIU De-Qin , HE Jing-Song （ 1School of Mathematical Sciences, University of Science and Technologe of China, Hefei 230026, China 2Department of Mathematics, Ningbo University, Ningbo 315211, China）
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/63/5/525