Novel loop-like solitons for generalized Vakhnenko equation

doi:10.1088/1674-1056/22/3/030511

Abstract A nontraveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method. The solution includes an arbitrary function of an independent variable. Based on the solution, two hyperbolic functions are chosen to construct new solitons. Novel single-loop-like and double-loop-like solitons are found for the equation.

Keywords: generalized Vakhnenko equation extended Riccati mapping method nontraveling wave solution loop-like soliton

Received: 03 July 2012
Revised: 03 September 2012
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: Project supported by the Scientific Research Common Program of Beijing Municipal Commission of Education, China (Grant No. KM201010011001), PHR (Grant No. 201106206), the Funding Project for Innovation on Science, Technology and Graduate Education in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality, China (Grant Nos. 201098, PXM2012_-014213_000087, PXM2012_-014213_-000037, and PXM2012_-014213_-000079).

Corresponding Authors: Ma Yu-Lan
E-mail: mayl@th.btbu.edu.cn

Cite this article:

Zhang Min (张旻), Ma Yu-Lan (马玉兰), Li Bang-Qing (李帮庆) Novel loop-like solitons for generalized Vakhnenko equation 2013 Chin. Phys. B 22 030511

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