Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics.
The Korteweg-de Vries (KdV)-type models have been shown to describe many important physical situations such as fluid flows, plasma physics, and solid state physics. In this paper, a new (2 + 1)-dimensional KdV equation is discussed. Based on the Hirota's bilinear form and a generalized three-wave approach, we obtain new exact solutions for the new (2 + 1)-dimensional KdV equation. With the help of symbolic computation, the properties for some new solutions are presented with some figures.
College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China.
Jian-Guo
JG
Liu
College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China.
Jian-Qiang
JQ
Du
Department of Basic, Jiangxi Vocational and Technical College of Communication, JiangXi 330013, China.
Zhi-Fang
ZF
Zeng
College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China.
Guo-Ping
GP
Ai