A Generalized (G′/G)-Expansion Method for the Nonlinear Schrodinger Equation with Variable Coefficients

被引：30

作者：

Zhang, Sheng ^{[1
]}

Ba, Jin-Mei ^{[1
]}

Sun, Ying-Na ^{[1
]}

Dong, Ling ^{[1
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 11期

关键词：

Nonlinear Evolution Equations; Generalized (G '/G)-Expansion Method; Hyperbolic Function Solutions; Trigonometric Function Solutions; Rational Solutions; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; KADOMSTEV-PETVIASHVILI EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; SOLITON-SOLUTIONS; SYMBOLIC COMPUTATION; EVOLUTION-EQUATIONS; EXPANSION METHOD; BROER-KAUP; MKDV EQUATION;

D O I：

10.1515/zna-2009-1104

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, a generalized (G'/G)-expansion method, combined with suitable transformations, is used to construct exact solutions of the nonlinear Schrodinger equation with variable coefficients. As a result, hyperbolic function solutions, trigonometeric function solutions, and rational solutions with parameters are obtained. When the parameters are taken as special values, some solutions including the known kink-type solitary wave solution and the singular travelling wave solution are derived from these obtained solutions. It is shown that the generalized (G'/G)-expansion method is direct, effective, and can be used for many other nonlinear evolution equations with variable coefficients in mathematical physics.

引用

页码：691 / 696

页数：6

共 50 条

[21] The Two-Variable (G′/G, 1/G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation
Zayed, E. M. E.
Abdelaziz, M. A. M.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[22] A Generalized and Improved (G′/G)-Expansion Method for Nonlinear Evolution Equations
Akbar, M. Ali
Ali, Norhashidah Hj. Mohd.
Zayed, E. M. E.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[23] New application of (G′/G)-expansion method to a nonlinear evolution equation
Ma, Yulan
Li, Bangqing
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (07) : 2137 - 2144
[24] The (G′/G)-expansion method for a discrete nonlinear Schrödinger equation
Sheng Zhang
Ling Dong
Jin-Mei Ba
Ying-Na Sun
Pramana, 2010, 74 : 207 - 218
[25] The modified (G′/G)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity
Miao, Xiu-jin
Zhang, Zai-yun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (11) : 4259 - 4267
[26] On: New optical soliton solutions for nonlinear complex fractional Schrodinger equation via new auxiliary equation method and novel (G′/G)-expansion method
Al-Raeei, Marwan
El-Daher, Moustafa Sayem
PRAMANA-JOURNAL OF PHYSICS, 2019, 94 (01):
[27] New optical soliton solutions for nonlinear complex fractional Schrodinger equation via new auxiliary equation method and novel (G′/G)-expansion method
Khater, Mostafa M. A.
Seadawy, Aly R.
Lu, Dianchen
PRAMANA-JOURNAL OF PHYSICS, 2018, 90 (05):
[28] Generalized (G′/G)-expansion method and exact traveling wave solutions of the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity in optical fiber materials
Zhang, Zaiyun
Wu, Jianguo
OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (02)
[29] A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients
Li, B
Chen, Y
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (11-12): : 768 - 774
[30] The exact solutions of the (2+1)-dimensional Kadomtsev-Petviashvili equation with variable coefficients by extended generalized G0 ()- G expansion method
Mohanty, Sanjaya K.
V. Kravchenko, Oleg
Deka, Manoj Kr.
Dev, Apul N.
V. Churikov, Dmitry
JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2023, 35 (01)

← 1 2 3 4 5 →