Approximate Derivative-Dependent Functional Variable Separation for the Generalized Diffusion Equations with Perturbation |
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| Authors: | ZHANG Shun-Li JI Fei-Yu QU Chang-Zheng |
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| Affiliation: | 1. Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 710069, China;2. Center of Nonlinear Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | As an extension to the derivative-dependent functional variable separation approach, the approximate derivative-dependent functional variable separation approach is proposed, and it is applied to study the generalized diffusion equations with perturbation. Complete classification of these perturbed equations which admit approximate derivative-dependent functional separable solutions is obtained. As a result, the corresponding approximate derivative-dependent functional separable solutions to some resulting perturbed equations are derived by way of examples. |
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| Keywords: | generalized diffusion equation approximate derivative-dependent functional separable solution approximate generalized conditional symmetry |
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