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Novel loop-like solitons for the generalized Vakhnenko equation

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【作者】 张旻； 马玉兰； 李帮庆；

【Author】 Zhang Min a),Ma Yu-Lan a),and Li Bang-Qing 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

【机构】 School of Science,Beijing Technology and Business University； School of Computer and Information Engineering,Beijing Technology and Business University；

【摘要】 A non-traveling 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.

【Abstract】 A non-traveling 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；
【Key words】 generalized Vakhnenko equation； extended Riccati mapping method； nontraveling wave solution； loop-like soliton；
【基金】 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)
  • 【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2013年03期
  • 【分类号】O241.8
  • 【被引频次】1
  • 【下载频次】36
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