Variable Separation and Exact Separable Solutions for Equations of Type uxt=A(u,ux)uxx+B(u,ux) |
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| Authors: | ZHANG Shun-Li |
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| Affiliation: | Center for Nonlinear Studies, Department of Mathematics,Northwest University, Xi'an 710069, China;Institute of Modern Physics, Northwest University, Xi'an 710069, China;Center of Nonlinear Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | ![]()
The generalized conditional symmetry is developed to study the variableseparation for equations of type uxt=A(u,ux)uxx+B(u,ux). Complete classification of those equations which admit derivative-dependent functional separable solutions is obtained and some of theirexact separable solutions are constructed. |
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| Keywords: | nonlinear evolution equations variable separation generalized conditionalsymmetry |
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