Novel loop-like solitons for generalized Vakhnenko equation

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

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30511-030511.doi: 10.1088/1674-1056/22/3/030511

Novel loop-like solitons for generalized Vakhnenko equation

张旻^a, 马玉兰^a, 李帮庆^{a b}

a School of Science, Beijing Technology and Business University, Beijing 100048, China;
b School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China

收稿日期:2012-07-03 修回日期:2012-09-03 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
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).

Novel loop-like solitons for generalized Vakhnenko equation

Zhang Min (张旻)^a, Ma Yu-Lan (马玉兰)^a, Li Bang-Qing (李帮庆)^{a b}

a School of Science, Beijing Technology and Business University, Beijing 100048, China;
b School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China

Received:2012-07-03 Revised:2012-09-03 Online:2013-02-01 Published:2013-02-01
Contact: Ma Yu-Lan E-mail:mayl@th.btbu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: generalized Vakhnenko equation, extended Riccati mapping method, nontraveling wave solution, loop-like soliton

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.

Key words: generalized Vakhnenko equation, extended Riccati mapping method, nontraveling wave solution, loop-like soliton

中图分类号: (Solitons)

05.45.Yv

03.65.Ge (Solutions of wave equations: bound states)

张旻, 马玉兰, 李帮庆. Novel loop-like solitons for generalized Vakhnenko equation[J]. 中国物理B, 2013, 22(3): 30511-030511.

Zhang Min (张旻), Ma Yu-Lan (马玉兰), Li Bang-Qing (李帮庆). Novel loop-like solitons for generalized Vakhnenko equation[J]. Chin. Phys. B, 2013, 22(3): 30511-030511.

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Novel loop-like solitons for generalized Vakhnenko equation

Novel loop-like solitons for generalized Vakhnenko equation

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