Compacton, Peakon and Solitary Wave Solutions of the Osmosis K (3,2) Equation
Junde Chen
Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China.
Jing Chen *
Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China.
Jiangbo Zhou
Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the bifurcation method of planar systems and simulation method of differential equations are employed to investigate the bounded traveling wave solutions of the osmosis K (3,2) equation. Our results show that this equation admits a variety of physical solutions such as compacton, peakon and smooth solitary wave solutions.
Keywords: K (3,2) equation, compacton, peakon, solitary wave solution, bifurcation method.