Construction of exact solutions in implicit form for PDEs: New functional separable solutions of non-linear reaction–diffusion equations with variable coefficients

The paper deals with different classes of non-linear reaction–diffusion equations with variable coefficients c(x)ut=[a(x)f(u)ux]x+b(x)g(u),that admit exact solutions. The direct method for constructing functional separable solutions to these and more complex non-linear equations of mathematical phys...

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Veröffentlicht in:	International journal of non-linear mechanics 2019-05, Vol.111, p.95-105
1. Verfasser:	Polyanin, Andrei D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Boundary value problems Diffusion Equations with variable coefficients Exact solutions Exact solutions in implicit form Functional separable solutions Functionals Generalized traveling-wave solutions Linear equations Non-linear reaction–diffusion equations Nonlinear equations Partial differential equations Reaction-diffusion equations
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