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Interactions Between Solitons and Cnoidal Periodic Waves of the (2+1)-Dimensional Konopelchenko-Dubrovsky Equation  ( SCI-EXPANDED收录)   被引量:6

文献类型:期刊文献

中文题名:Interactions Between Solitons and Cnoidal Periodic Waves of the(2+1)-Dimensional Konopelchenko–Dubrovsky Equation

英文题名:Interactions Between Solitons and Cnoidal Periodic Waves of the (2+1)-Dimensional Konopelchenko-Dubrovsky Equation

作者:Yu Wei-Feng[1,3];Lou Sen-Yue[1,2];Yu Jun[3];Yang Duo[1]

机构:[1]Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China;[2]E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China;[3]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China

年份:2014

卷号:0

期号:9

起止页码:297

中文期刊名:理论物理通讯:英文版

外文期刊名:COMMUNICATIONS IN THEORETICAL PHYSICS

收录:SCI-EXPANDED(收录号:WOS:000345784200001)、CSTPCD、、Scopus(收录号:2-s2.0-84907468404)、WOS、CSCD、CSCD2013_2014、PubMed

基金:Supported by the National Natural Science Foundation of China under Grant Nos. 11175092, 11275123, 11205092, and 10905038, Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No. ZF1213, Talent Fund and K.C. Wong Magna Fund in Ningbo University

语种:英文

中文关键词:consistent;Riccati;expansion;(2+1)-dimensional;KD;equation;soliton-cnoidal;wave;interaction;solution

外文关键词:consistent Riccati expansion; (2+1)-dimensional KD equation; soliton-cnoidal wave interaction solution

中文摘要:The(2+1)-dimensional Konopelchenko–Dubrovsky equation is an important prototypic model in nonlinear physics, which can be applied to many fields. Various nonlinear excitations of the(2+1)-dimensional Konopelchenko–Dubrovsky equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this paper, with the help of the Riccati equation, the(2+1)-dimensional Konopelchenko–Dubrovsky equation is solved by the consistent Riccati expansion(CRE). Furthermore, we obtain the soliton-cnoidal wave interaction solution of the(2+1)-dimensional Konopelchenko–Dubrovsky equation.

外文摘要:The (2+1)-dimensional Konopelchenko-Dubrovsky equation is an important prototypic model in nonlinear physics, which can be applied to many fields. Various nonlinear excitations of the (2+1)-dimensional Konopelchenko-Dubrovsky equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this paper, with the help of the Riccati equation, the (2+1)-dimensional Konopelchenko-Dubrovsky equation is solved by the consistent Riccati expansion (CRE). Furthermore, we obtain the soliton-cnoidal wave interaction solution of the (2+1)-dimensional Konopelchenko-Dubrovsky equation.

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