Multisoliton solutions to Cahn-Allen equation using double exp-function method

被引:18
作者
Bekir, A. [1 ]
机构
[1] Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26480 Eskisehir, Turkey
关键词
TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; TANH METHOD; (G'/G)-EXPANSION METHOD; PERIODIC-SOLUTIONS;
D O I
10.3103/S1541308X12020045
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is established abundant one- and two-soliton solutions to nonlinear Cahn-Allen equation. It is shown that the double exp-function method, with the help of symbolic computation, provides a very effective and powerful new tool for solving nonlinear evolution equations in mathematical physics.
引用
收藏
页码:118 / 121
页数:4
相关论文
共 30 条
[1]  
Ablowitz M., 1981, SOLITONS INVERSE SCA, DOI [10.1137/1.9781611970883, DOI 10.1137/1.9781611970883]
[2]   MICROSCOPIC THEORY FOR ANTIPHASE BOUNDARY MOTION AND ITS APPLICATION TO ANTIPHASE DOMAIN COARSENING [J].
ALLEN, SM ;
CAHN, JW .
ACTA METALLURGICA, 1979, 27 (06) :1085-1095
[3]  
Bekir A, 2007, INT J NONLIN SCI NUM, V8, P505
[4]   New solitons and periodic wave solutions for some nonlinear physical models by using the sine-cosine method [J].
Bekir, Ahmet .
PHYSICA SCRIPTA, 2008, 77 (04)
[5]   Exact Travelling Wave Solutions of Toda Lattice Equations Obtained via the Exp-Function Method [J].
Dai, Chao-Qing ;
Wang, Yue-Yue .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (10-11) :657-662
[6]  
Dai ZD, 2010, INT J NONLIN SCI NUM, V11, P237
[7]   New exact travelling wave solutions using modified extended tanh-function method [J].
El-Wakil, S. A. ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (04) :840-852
[8]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[9]  
Fu HM, 2009, INT J NONLIN SCI NUM, V10, P927
[10]   New periodic solutions for nonlinear evolution equations using Exp-function method [J].
He, Ji-Huan ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 34 (05) :1421-1429