Wave-like solutions for a class of parabolic models (Q1419503)

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scientific article; zbMATH DE number 2027277
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Wave-like solutions for a class of parabolic models
scientific article; zbMATH DE number 2027277

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    Wave-like solutions for a class of parabolic models (English)
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    14 January 2004
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    A reduction approach is developed to determine exact solutions of nonlinear second-order parabolic PDEs. The technique makes use of the theory of quasilinear hyperbolic systems. Wave type solutions are obtained by solving a consistent overdetermined system of PDEs. Examples are given and in some cases solutions are obtained in closed form.
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    method of differential constraints
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