Variable Separation for (1+1)-Dimensional Nonlinear Evolution Equations with Mixed Partial Derivatives |
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| Authors: | WANG Peng-Zhou and ZHANG Shun-Li |
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| Institution: | 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: | We present basic theory of variable separation for (1+1)-dimensional nonlinear evolution equations with mixed
partial derivatives. As an application, we classify equations
uxt=A(u,u_x)uxxx+B(u,ux) that admits derivative-dependent functional separable solutions (DDFSSs) and illustrate how to construct those DDFSSs with some examples. |
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| Keywords: | (1+1)-dimensional nonlinear evolution equations variable separation generalized conditional symmetry derivative-dependent functional separable solution |
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