期刊
ANALYSIS AND MATHEMATICAL PHYSICS
卷 10, 期 4, 页码 -出版社
SPRINGER BASEL AG
DOI: 10.1007/s13324-020-00397-w
关键词
Hirota's bilinear form; Extended Ansatz function method; KdV Equation; Cross-kink wave solutions; Symbolic computation
资金
- National Natural Science Foundation of China [81860771]
- Science and Technology project from the Department of Education of Jiangxi Province [160803]
- Key discipline Project of Jiangxi University of Traditional Chinese Medicine [2016jzzdxk 015]
The movement of any object has a certain natural law, and the studies and solutions to many natural laws boil down to the problem of mathematical physics equations. Many important physical situations such as fluid flows, plasma physics, and solid state physics have been described by the Korteweg-de Vries (KdV)-type models. In this article, the (2+1)-dimensional KdV equation is presented. By using the Hirota's bilinear form and the extended Ansatz function method, we obtain new exact periodic cross-kink wave solutions for the (2+1)-dimensional KdV equation. With the aid of symbolic computation, the properties for these exact periodic cross-kink wave solutions are shown with some figures.
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