Localized and Expanding Entire Solutions of Reaction–Diffusion Equations
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DOI: 10.1007/s10884-020-09936-2
Abstract: This paper is concerned with the spatio-temporal dynamics of nonnegative bounded entire solutions of some reaction–diffusion equations in $$\mathbb {R}^N$$ R N in any space dimension N . The solutions are assumed to be localized… read more here.
Keywords: reaction diffusion; solutions reaction; entire solutions; diffusion equations ... See more keywords
New exact solutions of the reaction–diffusion equation with variable coefficients via the mathematical computation
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DOI: 10.1142/s1793524518500511
Abstract: In this paper, we construct new exact solutions of the reaction–diffusion equation with time dependent variable coefficients by employing the mathematical computation via the Painleve test. We desc... read more here.
Keywords: variable coefficients; reaction diffusion; solutions reaction; diffusion equation ... See more keywords