New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III
نویسنده
چکیده
where λ and m are arbitrary constants and C(U) is an arbitrary smooth function, has been done. The symmetries obtained for constructing exact solutions of the relevant equations have been successfully applied. In the particular case, new exact solutions of nonlinear reactiondiffusion-convection (RDC) equations arising in applications have been found. The most general RDC equation with power functions arising in the diffusion and convection coefficients reads as
منابع مشابه
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. II
In the first part of this paper [1], a complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It was shown that all the known results for reaction-diffusion equations with power diffusivities follow as particular cases from those obtained in [1] but not vise versa. In the second part the symmetries obtaine...
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تاریخ انتشار 2007