New periodic wave solutions for the shallow water equations and the generalized Klein–Gordon equation |
| |
Institution: | 1. School of Civil and Environmental Engineering, Georgia Institute of Technology, United States;2. Inria Sophia Antipolis - Méditerranée, France |
| |
Abstract: | The periodic wave solutions and the corresponding solitary solutions for the shallow water equations and the generalized Klein–Gordon equation are obtained by means of mapping method. The solutions obtained in this paper include as well the shock wave solution, complex line period, complex line soliton and rational solutions. Moreover, the obtained solutions are degenerated in terms of hyperbolic function solutions and trigonometric function solutions when the modulus m of the Jacobi elliptic function is driven to 1 and 0, respectively. The previously known periodic and solitary wave solutions are recovered. Many new results are presented. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|