Z. Naturforsch. 68a, 350 – 354 (2013)
Elastic and Annihilation Solitons of the (3 + 1)-Dimensional Generalized Shallow Water Wave System
Song-Hua Ma, Jian-Ping Fang, and Hong-Yu Wu
College of Science, Zhejiang Lishui University, Lishui 323000, China
Received July 31, 2012 / revised November 23, 2012 / published online April 10, 2013
Reprint requests to: J.-P. F.; E-mail: zjlsfjp@yahoo.com.cn
With the help of the symbolic computation system Maple, the mapping approach, and a linear variable separation method, a new exact solution of the (3 + 1)-dimensional generalized shallow water wave (GSWW) system is derived. Based on the obtained solitary wave solution, some novel soliton excitations are investigated.
Key words: Mapping Approach; GSWW System; Exact Solutions; Solution Excitations.
PACS numbers: 05.45.Yv; 03.65.Ge
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