Two new types of bounded waves of CH-γ equation  

作　　者：GUO Boling & LIU Zhengrong Institute of Applied Physics and Computational Mathematics, Beijing 100088, China School of Mathematical Sciences and Center for Nonlinear Science Studies, South China University of Technology, Guangzhou 510640, China 

出　　处：《Science China Mathematics》2005年第12期1618-1630,共13页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.10261008).

摘　　要：In this paper, the bifurcation method of dynamical systems and numerical approach of differential equations are employed to study CH-γ equation. Two new types of bounded waves are found. One of them is called the compacton. The other is called the generalized kink wave. Their planar graphs are simulated and their implicit expressions are given. The identity of theoretical derivation and numerical simulation is displayed.In this paper, the bifurcation method of dynamical systems and numerical approach of differential equations are employed to study CH-γ equation. Two new types of bounded waves are found. One of them is called the compacton. The other is called the generalized kink wave. Their planar graphs are simulated and their implicit expressions are given. The identity of theoretical derivation and numerical simulation is displayed.

关 键 词：CH-γ equation compactons generalized KINK waves. 

分 类 号：O175.2[理学—数学]