Separation of Variables in a Nonlinear Wave Equation with a Variable Wave Speed |
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Authors: | P G Estévez C Z Qu |
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Institution: | (1) Area de Física Teórica, Facultad de Ciencias, Universidad de Salamanca, Salamanca, Spain;(2) Department of Mathematics, Northwest University, Xian, China |
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Abstract: | We develop a generalized conditional symmetry approach for the functional separation of variables in a nonlinear wave equation with a nonlinear wave speed. We use it to obtain a number of new (1+1)-dimensional nonlinear wave equations with variable wave speeds admitting a functionally separable solution. As a consequence, we obtain exact solutions of the resulting equations. |
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Keywords: | Lie symmetries generalized symmetries diffusion equations nonlinear equations |
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