New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations

被引：15
|
作者：
Elgarayhi, A [1 ]
Elhanbaly, A
机构：
[1] Univ Mansoura, Fac Sci, Dept Phys, Theoret Phys Res Grp, Mansoura 35516, Egypt
[2] King Saud Univ, Al Qassem Branch, Coll Sci, Brueidah 81999, Saudi Arabia
来源：
PHYSICS LETTERS A | 2005年 / 343卷 / 1-3期
关键词：
Jacobi elliptic function solutions; non-linear partial differential equations; periodic wave solution;
D O I：
10.1016/j.physleta.2005.06.004
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the solutions of elliptic equation, a direct method is described to construct the exact traveling wave solutions for two-dimensional KdV-Burgers and Boussinesq equations. More Jacobi elliptic function solutions are obtained. These solutions can be degenerative to hyperbolic function solutions and trigonometric function solutions when the modulus m of Jacobi elliptic function is driven to limit 1 and 0. The results include solitary wave solutions, periodic wave solutions and shock wave solutions. Many new results are presented. (c) 2005 Elsevier B.V. All rights reserved.
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页码：85 / 89
页数：5
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