Conditional Lie-Bcklund Symmetry and New Variable Separation Solutions of the Third Order KdV-Type Equations

作者：屈改珠; 张顺利; 李海侠; 王岗伟^*

来源：Communications in Theoretical Physics, 2018, 70(10): 399-404.

The functionally generalized variable separation solutions of a general KdV-type equations ut=uxxx +A(u, ux)uxx + B(u, ux) 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.

• 单位
  西北大学