| Variable Separation for （1 ＋ 1）-Dimensional Nonlinear Evolution Equations with Mixed Partial Derivatives |
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| 作者姓名： | WANG Peng-Zhou ;ZHANG Shun-Li |
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| 作者单位： | [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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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant Nos. 10447007 and 10671156 and the Natural Science Foundation of Shaanxi Province of China under Grant No. 2005A13 |
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| 摘 要： | 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, ux）uxxx ＋ B（u, ux） that admits derivativedependent functional separable solutions （DDFSSs） and illustrate how to construct those DDFSSs with some examples.
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| 关 键 词： | 空间非线性方程式 变数分离 对称方程式 派生物 |
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