Conditional Lie-Bcklund Symmetry and New Variable Separation Solutions of the Third Order KdV-Type Equations |
| |
引用本文: | 屈改珠,张顺利,李海侠,王岗伟.Conditional Lie-Bcklund Symmetry and New Variable Separation Solutions of the Third Order KdV-Type Equations[J].理论物理通讯,2018(10). |
| |
作者姓名: | 屈改珠 张顺利 李海侠 王岗伟 |
| |
摘 要: | The functionally generalized variable separation solutions of a general KdV-type equations u_t=u_(xxx) +A(u, u_x)u_(xx) + B(u, u_x) are investigated by developing the conditional Lie-Backlund symmetry method. A complete classification of the considered equations, which admit multi-dimensional invariant subspaces governed by higher-order conditional Lie-B¨acklund symmetries, is presented. As a result, several concrete examples are provided to construct functionally generalized variable separation solutions of some resulting equations.
|
本文献已被 CNKI 等数据库收录! |
|