Conditional Lie–Bäcklund symmetries to inhomogeneous nonlinear diffusion equations
نویسندگان
چکیده
منابع مشابه
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III
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 fun...
متن کاملNew 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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Fractional diffusion equations are abstract partial differential equations that involve fractional derivatives in space and time. They are useful to model anomalous diffusion, where a plume of particles spreads in a different manner than the classical diffusion equation predicts. An initial value problem involving a space-fractional diffusion equation is an abstract Cauchy problem, whose analyt...
متن کاملQ-Conditional Symmetries and Exact Solutions of Nonlinear Reaction-Diffusion Systems
A wide range of reaction–diffusion systems with constant diffusivities that are invariant under Q-conditional operators is found. Using the symmetries obtained, the reductions of the corresponding systems to the systems of ODEs are conducted in order to find exact solutions. In particular, the solutions of some reaction–diffusion systems of the Lotka–Volterra type in an explicit form and satisf...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2014
ISSN: 0307-904X
DOI: 10.1016/j.apm.2014.02.020