Periodic Travelling Wave Solutions of ZK (2, 4, -2) Equation
Minzhi Wei *
School of Information and Statistics, Guangxi University of Finance and Economics Nanning, Guangxi, 530003, P. R. China.
Sumin Yang
Guangxi Technological College of Machinery and Electricity Nanning, Guangxi, 530007, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the qualitative analysis methods of dynamical systems are used to investigate the periodic travelling wave solutions of ZK (2, 4,-2) equation. The phase portrait bifurcation of the travelling wave system corresponding to the equation is given. The explicit expressions of the periodic travelling wave solutions are obtained by using the portraits. The graph of the solutions are given with the numerical simulation.
Keywords: Periodic travelling wave solutions, ZK (2, 4, -2) equation, bifurcation method