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Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized KdV Equations 被引量:4
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作者 zhangshun-li LOUSen-Yue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第4X期401-406,共6页
Using the generalized conditional symmetry approach, a complete list of canonical forms for the Korteweg de-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is ob... Using the generalized conditional symmetry approach, a complete list of canonical forms for the Korteweg de-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is obtained. The exact DDFSSs of the resulting equations are explicitly exhibited. 展开更多
关键词 变量分离 条件对称 KDV型方程 非线性扩散方程 进化矢量场
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Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized Nonlinear Wave Equations 被引量:3
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作者 zhangshun-li LOUSen-Yue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第2期161-174,共14页
Using the generalized conditional symmetry approach, we obtain a number of new generalized (1+1)-dimensional nonlinear wave equations that admit derivative-dependent functional separable solutions.
关键词 variable separation nonlinear wave derivative-dependent functional separable solution
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