Functionally separable solutions to nonlinear wave equations by group foliation method |
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| Authors: | Jiayi Hu Changzheng Qu |
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| Affiliation: | a Center for Nonlinear Studies, Northwest University, Xi'an 710069, PR China
b Department of Mathematics, Northwest University, Xi'an 710069, PR China |
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| Abstract: | We apply functional separation of variables within the approach of the group foliation method to the nonlinear wave equation with variable speed and external force: utt=A(x)(Dx(u)ux)+B(x)Q(u), Ax≠0. A classification of these equations admitting functionally separable solutions is performed and the resulting solutions are obtained in explicit form in many cases. |
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| Keywords: | Group foliation method Functional separation of variable Nonlinear wave equation Symmetry group |
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