On the general traveling wave solutions of some nonlinear diffusion equations
[摘要] We consider a family of nonlinear diffusion equations with nonlinear sources. We assume that all nonlinearities are polynomials with respect to a dependent variable. The traveling wave reduction of this family of equations is an equation of the Lienard-type. Applying recently obtained criteria for integrability of Lienard-type equations we find some new integrable families of traveling wave reductions of nonlinear diffusion equations as well as their general analytical solutions.
[发布日期] [发布机构] National Research Nuclear University, MEPhl (Moscow Engineering Physics Institute), Moscow, Russia^1
[效力级别] 数学 [学科分类]
[关键词] Dependent variables;General analytical solution;Integrability;Nonlinear diffusion equations;Nonlinear source;Traveling wave reductions;Traveling wave solution [时效性]
