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Zbl 1203.35223
He, Bin; Meng, Qing
New exact explicit peakon and smooth periodic wave solutions of the $K(3,2)$ equation. (English)
[J] Appl. Math. Comput. 217, No. 4, 1697-1703 (2010). ISSN 0096-3003

Summary: Based on an independent variable transformation, the $K(3,2)$ equation is investigated by the bifurcation method of planar systems and qualitative theory of polynomial differential system. In different regions of the parametric space, some new exact explicit peakon and smooth periodic wave solutions are obtained. The results presented in this paper improve the previous results.

MSC 2000:: *35Q53 KdV-like equations
37K10 Completely integrable systems etc.
37K50 Bifurcation problems
35B10 Periodic solutions of PDE
35A30 Geometric theory for PDE, transformations
35B65 Smoothness of solutions of PDE

Keywords: $K(3, 2)$ equation; independent variable transformation; peakon; smooth periodic wave; exact explicit solution

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