Geodesic
Group Classification of Variable Coefficient Quasilinear Reaction-diffusion Equations
Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 81

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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 transformations within the class.
Classification : 35A30 35K57
Keywords: group classification, reaction-diffusion equations, Lie symmetry, admissible transformations, equivalence transformations 
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     author = {Olena Vaneeva and Alexander Zhalij},
     title = {Group {Classification} of {Variable} {Coefficient} {Quasilinear} {Reaction-diffusion} {Equations}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
     volume = {_N_S_94},
     number = {108},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a7/}
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Olena Vaneeva; Alexander Zhalij. Group Classification of Variable Coefficient Quasilinear Reaction-diffusion Equations. Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 81 . http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a7/