中国物理B ›› 2013, Vol. 22 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/22/4/040201
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扎其劳
Zhaqilao (扎其劳)
摘要: In this paper, we studied N-soliton solutions of a new integrable equation studied by Qiao [J. Math. Phys. 48 082701 (2007)]. Firstly, we employed the Darboux matrix method to construct a Darboux transformation for the modified Korteweg-de Vries equation. Then we use the Darboux transformation and a transformation, introduced by Sakovich [J. Math. Phys. 52 023509 (2011)], to derive N-soliton solutions of the new integrable equation from the seed solution. In particular, the multiple soliton solutions are explicitly obtained and shown through some figures.
中图分类号: (Integrable systems)