The extended mapping method and its applications for nonlinear evolution equations

被引：33

作者：

El-Waki, S. A. ^{[1
]}

Abdou, M. A. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura 35516, Egypt

来源：

PHYSICS LETTERS A | 2006年 / 358卷 / 04期

关键词：

extended mapping-method; nonlinear evolution equations; new periodic solutions;

D O I：

10.1016/j.physleta.2006.05.040

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The extended mapping method with a computerized symbolic computation is used to drive some new exact solutions of four nonlinear evolution equations in mathematical physics. As a result, many exact travelling wave solutions are obtained which include new solitary wave solutions, triangular and hyperbolic functions. Solutions in the limiting cases have also been studied. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：275 / 282

页数：8

共 50 条

[41] On nonlinear evolution equations with applications
Debnath, L
MATHEMATICS AND THE 21ST CENTURY, 2001, : 173 - 188
[42] Applications of extended simple equation method on unstable nonlinear Schrodinger equations
Lu, Dianchen
Seadawy, Aly
Arshad, M.
OPTIK, 2017, 140 : 136 - 144
[43] The (G'/G)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics
Zayed, E. M. E.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2009, 30 (1-2) : 89 - 103
[44] Multiple (G′/G)-expansion method and its applications to nonlinear evolution equations in mathematical physics
Junchao Chen
Biao Li
Pramana, 2012, 78 : 375 - 388
[45] Multiple (G′/G)-expansion method and its applications to nonlinear evolution equations in mathematical physics
Chen, Junchao
Li, Biao
PRAMANA-JOURNAL OF PHYSICS, 2012, 78 (03): : 375 - 388
[46] Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous:Mathematical Discussions and Its Applications
LIU Cheng-Shi Department of Mathematics
Communications in Theoretical Physics, 2006, 45 (02) : 219 - 223
[47] Trial equation method to nonlinear evolution equations with rank inhomogeneous: Mathematical discussions and its applications
Liu, CS
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (02) : 219 - 223
[48] APPLICATIONS OF NONLINEAR INTERPOLATION TO NONLINEAR EVOLUTION EQUATIONS
SAUT, JC
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1975, 54 (01): : 27 - 52
[49] Applications of the combined tanh function method with symmetry method to the nonlinear evolution equations
Zhi, Hongyan
Zhang, Hongqing
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 385 - 393
[50] An extended functional transformation method and its application in some evolution equations
Ding, HY
Xu, XX
Yang, HX
CHINESE PHYSICS, 2005, 14 (09): : 1687 - 1690

← 1 2 3 4 5 →