科研之友
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摘要
For a class of nonlinear diffusion convection reaction equations, the corresponding travelling wave systems are well known Lienard systems. Under Chiellini's integrability condition, the first integrals of Lienard systems can be obtained. In this paper, we use the method of dynamical systems to study the dynamical behavior of the corresponding travelling wave systems of two classes of nonlinear wave equations. Under given parametric conditions, some exact explicit parametric representations of the monotonic and nonmonotonic kink wave solutions are obtained.
