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arxiv: 1302.4915 · v1 · pith:S4E6ZETYnew · submitted 2013-02-20 · 🌊 nlin.SI · math-ph· math.AP· math.MP

Group classification of variable coefficient quasilinear reaction-diffusion equations

classification 🌊 nlin.SI math-phmath.APmath.MP
keywords groupclassificationcoefficientequationsquasilinearreaction-diffusionvariableadmissible
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The group classification of variable coefficient quasilinear reaction-diffusion equations $u_t=u_{xx}+h(x)B(u)$ is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformation within the class.

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