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- Title
On generalized Lax equation of the Lax triple of KP Hierarchy.
- Authors
Wang, Xiao-Li; Yu, Lu; Yang, Yan-Xin; Chen, Min-Ru
- Abstract
In terms of the operator Nambu 3-bracket and the Lax pair (L, Bn) of the KP hierarchy, we propose the generalized Lax equation with respect to the Lax triple (L, Bn, Bm). The intriguing results are that we derive the KP equation and another integrable equation in the KP hierarchy from the generalized Lax equation with the different Lax triples (L, Bn, Bm). Furthermore we derive some no integrable evolution equations and present their single soliton solutions.
- Subjects
GENERALIZATION; OPERATOR theory; SOLITONS; NUMERICAL solutions to evolution equations; MATHEMATICAL analysis
- Publication
Journal of Nonlinear Mathematical Physics, 2015, Vol 22, Issue 2, p194
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1080/14029251.2015.1023565