New exact solutions to the mKdV equation with variable coefficients

被引:35
作者
Dai, CQ
Zhu, JM
Zhang, JF [1 ]
机构
[1] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Peoples R China
[2] Zhejiang Lishui Univ, Dept Phys, Lishui 323000, Peoples R China
关键词
D O I
10.1016/j.chaos.2005.04.072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this manuscript, using the variable-coefficient generalized projected Ricatti equation expansion method, we present explicit solutions of the mKDV equation with variable coefficients. These solutions include solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:881 / 886
页数:6
相关论文
共 50 条
[21]   Some exact solutions of KdV equation with variable coefficients [J].
Latif, M. S. Abdel .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) :1783-1786
[22]   Exact Solutions for Generalized KdV Equation with Variable Coefficients [J].
Wang Jinzhi ;
Chen Wanji ;
Xiao Shengzhong ;
Mei Jianqin .
INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 2008, 11 (06) :713-722
[23]   Auxiliary equation method for the mKdV equation with variable coefficients [J].
Guo, Shimin ;
Zhou, Yubin .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) :1476-1483
[24]   Exact solutions for the KdV-mKdV equation with time-dependent coefficients using the modified functional variable method [J].
Djoudi, W. ;
Zerarka, A. .
COGENT MATHEMATICS, 2016, 3
[25]   On new exact solutions of the generalized Fitzhugh-Nagumo equation with variable coefficients [J].
Hashemi, Mir Sajjad ;
Akgul, Ali .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (01)
[26]   Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients [J].
Triki, Houria ;
Taha, Thiab R. ;
Wazwaz, Abdul-Majid .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2010, 80 (09) :1867-1873
[27]   Improved tanh-function method and the new exact solutions for the general variable coefficient KdV equation and MKdV equation [J].
Li, DS ;
Zhang, HQ .
ACTA PHYSICA SINICA, 2003, 52 (07) :1569-1573
[28]   Some exact solutions for stochastic mKdV equation [J].
Liu, Qing .
CHAOS SOLITONS & FRACTALS, 2007, 32 (03) :1224-1230
[29]   NEW EXPLICIT EXACT SOLUTIONS OF THE mKdV-sinh-GORDON EQUATION [J].
Su, Kalin ;
Xie, Yuanxi .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (08) :1101-1109
[30]   Exact and approximate solutions for the fractional Schrodinger equation with variable coefficients [J].
Hong, Baojian ;
Lu, Dianchen ;
Chen, Wei .
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)