Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model
نویسندگان
چکیده
منابع مشابه
Q-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...
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...
متن کاملNew 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 reaction - diffusion systems with power diffusivities 1
A wide range of new Q-conditional symmetries for reaction-diffusion systems with power diffusivities is constructed. The relevant non-Lie ansätze to reduce the reactiondiffusion systems to ODE systems and examples of exact solutions are obtained. Relation of the solutions obtained with the development of spatially inhomogeneous structures is discussed. PACS numbers: 02.20.-a, 02.30.Jr, 05.45.-a...
متن کاملExact solutions of linear reaction-diffusion processes
8 Many processes during embryonic development involve transport and reaction of molecules, 9 or transport and proliferation of cells, within growing tissues. Mathematical models of 10 such processes usually take the form of a reaction–diffusion partial differential equation 11 (PDE) on a growing domain. Previous analyses of such models have mainly involved solv12 ing the PDEs numerically. Here,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Applied Mathematics
سال: 2020
ISSN: 0956-7925,1469-4425
DOI: 10.1017/s0956792520000121