Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632019 | Applied Mathematics and Computation | 2010 | 6 Pages |
Abstract
Based on the generalized symmetry group method presented by Lou and Ma [Lou and Ma, Non-Lie symmetry groups of (2Â +Â 1)-dimensional nonlinear systems obtained from a simple direct method, J. Phys. A: Math. Gen. 38 (2005) L129], firstly, both the Lie point groups and the full symmetry group of the nonisospectral BKP equation are obtained, at the same time, a relationship is constructed between the new solutions and the old ones of equation. Secondly, the nonisospectral BKP can be proved to be Painlevé integrability by combining the standard WTC approach with the Kruskal's simplification, some solutions are obtained by using the standard truncated Painlevé expansion. Finally, based on the relationship by the generalized symmetry group method and some solutions by using the standard truncated Painlevé expansion, some interesting solution are constructed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Huan-ping Zhang, Biao Li, Yong Chen,