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Exact Cuspon and Compactons of the Novikov Equation

Jibin Li

Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China

https://doi.org/10.1142/S0218127414500370Cited by:8 (Source: Crossref)

Abstract

In this paper, we apply the method of dynamical systems to the traveling wave solutions of the Novikov equation. Through qualitative analysis, we obtain bifurcations of phase portraits of the traveling system and exact cuspon wave solution, as well as a family of breaking wave solutions (compactons). We find that the corresponding traveling system of Novikov equation has no one-peakon solution.

The authors are supported by the National Natural Science Foundation of China (10831003).

Keywords:

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