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Travelling-wave solutions of coupled nonlinear evolution equations. (English) Zbl 1017.35047

Summary: The tanh technique is used to solve exactly a set of nonlinear coupled equations small describing a problem arising in geochemistry. Next a coupled problem originating from the field of (deterministic) random walk theory with reaction kinetics is investigated but now solved approximately. The latter solution corresponds quite well with numerical results.

MSC:

35K57 Reaction-diffusion equations
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