IJPAM: Volume 91, No. 4 (2014)

ON THE WAVE BREAKING PHENOMENON
OF WEAKLY DISSIPATIVE VAKHNENKO EQUATION

Shengqi Yu
School of Xinglin, School of Sciences
Nantong University
Nantong, Jiangsu, 226007, P.R. CHINA


Abstract. In this paper, we study the Vakhnenko equation with linear dissipation, which can be derived from the evolution of shallow water waves on a rotating fluid in the limit of small high-frequency dissipation. We show that the wave breaking phenomenon is affected by the dissipative parameters, we also determine the exact blow-up rate of wave breaking solutions.

Received: December 13, 2013

AMS Subject Classification: 35G25, 35L05, 35B30, 35L55

Key Words and Phrases: Vakhnenko equation, wave breaking

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DOI: 10.12732/ijpam.v91i4.7 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 4