Trial function method and exact solutions to the generalized nonlinear Schrdinger equation with time-dependent coefficient

被引：2

作者：

曹瑞 ^{[1
,2
]}

张健 ^{[1
]}

机构：

[1] College of Mathematics and Software Science,Sichuan Normal University

[2] Department of Mathematics,Heze University

来源：

ChinesePhysicsB | 2013年 / 22卷 / 10期

基金：

中国国家自然科学基金;

关键词：

generalized nonlinear Schro¨dinger equation; exact solution; trial function method;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

070102 ;

摘要：

In this paper,the trial function method is extended to study the generalized nonlinear Schrdinger equation with timedependent coefficients.On the basis of a generalized traveling wave transformation and a trial function,we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrdinger equation with time-dependent coefficients.Taking advantage of solutions to trial function,we successfully obtain exact solutions for the generalized nonlinear Schrdinger equation with time-dependent coefficients under constraint conditions.

引用

页码：186 / 189

页数：4

共 50 条

[1] Trial function method and exact solutions to the generalized nonlinear Schrodinger equation with time-dependent coefficient
Cao Rui
Zhang Jian
CHINESE PHYSICS B, 2013, 22 (10)
[2] Exact solutions with novel constrain condition in variable coefficient nonlinear Schrödinger equation
Huo, Kui
Shen, Haiyang
JOURNAL OF OPTICS-INDIA, 2024,
[3] Some Exact Solutions of Variable Coefficient Cubic-Quintic Nonlinear Schrdinger Equation with an External Potential
ZHU Jia-Min~(1
CommunicationsinTheoreticalPhysics, 2009, 51 (03) : 391 - 394
[4] Exact projective solutions of a generalized nonlinear Schrdinger system with variable parameters
郑春龙
李银
ChinesePhysicsB, 2012, 21 (07) : 124 - 128
[5] A method of generating exact solutions of the time-dependent Schrodinger equation with time-dependent mass
Schulze-Halberg, A
MODERN PHYSICS LETTERS A, 2002, 17 (24) : 1567 - 1573
[6] A new class of exact solutions of the Schrödinger equation
E. E. Perepelkin
B. I. Sadovnikov
N. G. Inozemtseva
A. A. Tarelkin
Continuum Mechanics and Thermodynamics, 2019, 31 : 639 - 667
[7] Exact Solutions of the Schrödinger Equation with Irregular Singularity
Axel Schulze-Halberg
International Journal of Theoretical Physics, 2000, 39 : 2305 - 2325
[8] New exact solutions for higher order nonlinear Schrödinger equation in optical fibers
Mostafa Eslami
Ahmad Neirameh
Optical and Quantum Electronics, 2018, 50
[9] A class of exact solutions of the time-dependent Schrodinger equation with time-dependent mass
Schulze-Halberg, A
MODERN PHYSICS LETTERS A, 2001, 16 (40) : 2557 - 2566
[10] Exact solutions to a class of nonlinear Schrödinger-type equations
Jin-Liang Zhang
Ming-Liang Wang
Pramana, 2006, 67 : 1011 - 1022

← 1 2 3 4 5 →