Rogue wave solutions of the nonlinear Schrodinger equation with variable coefficients

被引：8

作者：

Liu, Changfu ^{[1
]}

Li, Yan Yan ^{[1
]}

Gao, Meiping ^{[1
]}

Wang, Zeping ^{[1
]}

Dai, Zhengde ^{[2
]}

Wang, Chuanjian ^{[3
]}

机构：

[1] Wenshan Univ, Sch Math, Wenshan 663000, Peoples R China

[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China

[3] Kunming Univ Sci & Technol, Sch Sci, Kunming 650031, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2015年 / 85卷 / 06期

关键词：

Nonlinear Schrodinger equation; exp-function method; breather soliton; rogue wave;

D O I：

10.1007/s12043-015-0954-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a unified formula of a series of rogue wave solutions for the standard (1+1)-dimensional nonlinear Schrodinger equation is obtained through exp-function method. Further, by means of an appropriate transformation and previously obtained solutions, rogue wave solutions of the variable coefficient Schrodinger equation are also obtained. Two free functions of time t and several arbitrary parameters are involved to generate a large number of wave structures.

引用

页码：1063 / 1072

页数：10

共 50 条

[1] Rogue wave solutions of the nonlinear Schrödinger equation with variable coefficients
CHANGFU LIU
YAN YAN LI
MEIPING GAO
ZEPING WANG
ZHENGDE DAI
CHUANJIAN WANG
Pramana, 2015, 85 : 1063 - 1072
[2] EXACT TRAVELLING WAVE SOLUTIONS FOR NONLINEAR SCHRODINGER EQUATION WITH VARIABLE COEFFICIENTS
Liu, Xiuying
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1586 - 1597
[3] New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrodinger equation with variable coefficients
Yu, Fajun
Yan, Zhenya
APPLIED MATHEMATICS AND COMPUTATION, 2014, 233 : 351 - 358
[4] Rogue wave solutions for the coupled cubic-quintic nonlinear Schrodinger equations with variable coefficients
Qi, Feng-Hua
Xu, Xiao-Ge
Wang, Pan
APPLIED MATHEMATICS LETTERS, 2016, 54 : 60 - 65
[5] LONG-TIME SIMULATIONS OF ROGUE WAVE SOLUTIONS IN THE NONLINEAR SCHRODINGER EQUATION
ZHENG, C. H. E. N. X., I
TANG, S. H. A. O. Q. I. A. N. G.
METHODS AND APPLICATIONS OF ANALYSIS, 2022, 29 (01) : 149 - 160
[6] Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrodinger equation
Feng, Lian-Li
Zhang, Tian-Tian
APPLIED MATHEMATICS LETTERS, 2018, 78 : 133 - 140
[7] Rogue Wave with a Controllable Center of Nonlinear Schrodinger Equation
Wang Xiao-Chun
He Jing-Song
Li Yi-Shen
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (04) : 631 - 637
[8] New exact solutions to the nonlinear Schrodinger equation with variable coefficients
Guo, Qian
Liu, Jing
RESULTS IN PHYSICS, 2020, 16
[9] Nonautonomous rogue wave solutions and numerical simulations for a three-dimensional nonlinear Schrodinger equation
Yu, Fajun
NONLINEAR DYNAMICS, 2016, 85 (03) : 1929 - 1938
[10] New optical soliton solutions for the variable coefficients nonlinear Schrodinger equation
Gu, Yongyi
Aminakbari, Najva
OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (04)

← 1 2 3 4 5 →