A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation

被引：45
|
作者：
Sabry, R [1 ]
Zahran, MA
Fan, EG
机构：
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Phys Grp, Dumyat 34517, Egypt
[2] Mansoura Univ, Fac Sci, Dept Phys, Theoret Phys Grp, Mansoura 35516, Egypt
[3] Fudan Univ, Inst Math, Key Lab Nonlinear Math Models & Methods, Shanghai 200433, Peoples R China
来源：
PHYSICS LETTERS A | 2004年 / 326卷 / 1-2期
关键词：
generalized expansion method; generalized KdV equation with variable coefficients; cylindrical KdV equation; solitary wave solutions; Jacobi and Weierstrass doubly periodic wave solutions; symbolic computation;
D O I：
10.1016/j.physleta.2004.04.002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A generalized expansion method is proposed to uniformly construct a series of exact solutions for general variable coefficients non-linear evolution equations. The new approach admits the following types of solutions (a) polynomial solutions, (b) exponential solutions, (c) rational solutions, (d) triangular periodic wave solutions, (e) hyperbolic and solitary wave solutions and (f) Jacobi and Weierstrass doubly periodic wave solutions. The efficiency of the method has been demonstrated by applying it to a generalized variable coefficients KdV equation. Then, new and rich variety of exact explicit solutions have been found. (C) 2004 Elsevier B.V. All rights reserved.
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页码：93 / 101
页数：9
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