Abstract Some new exact solutions of an auxiliary ordinary differential equation are obtained, which were neglected by Sirendaoreji et al in their auxiliary equation method. By using this method and these new solutions the combined Korteweg--de Vries (KdV) and modified KdV (mKdV) equation and (2+1)-dimensional Broer--Kaup--Kupershmidt system are investigated and abundant exact travelling wave solutions are obtained that include new solitary wave solutions and triangular periodic wave solutions.
Received: 04 June 2006
Revised: 03 July 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10472029).
Cite this article:
Yang Xian-Lin(杨先林) and Tang Jia-Shi(唐驾时) New travelling wave solutions for combined KdV-mKdV equation and (2+1)-dimensional Broer-Kaup-Kupershmidt system 2007 Chinese Physics 16 310
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