Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation  

作　　者：Ji Lin Xin-Wei Jin Xian-Long Gao Sen-Yue Lou 林机;金新伟;高先龙;楼森岳(Department of Physics, Zhejiang Normal University;Faculty of Science, Ningbo University)

机构地区：[1]Department of Physics,Zhejiang Normal University,Jinhua 321004,China [2]Faculty of Science,Ningbo University,Ningbo 315211,China

出　　处：《Communications in Theoretical Physics》2018年第8期119-126,共8页理论物理通讯（英文版）

基　　金：Supported by the Natural Science Foundation of Zhejiang Province under Grant No.LZ15A050001;the National Natural Science Foundation of China under Grant No.11675146;Talent Fund and K.C.Wong Magna Fund in Ningbo University

摘　　要：The Backlund transformation（BT） of the m Kd V-s G equation is constructed by introducing a new transformation. Infinitely many nonlocal symmetries are obtained in terms of its BT. The soliton-periodic wave interaction solutions are explicitly derived by the classical Lie-group reduction method. Particularly, some special concrete soliton and periodic wave interaction solutions and their behaviours are discussed both in analytical and graphical ways.

关 键 词：soliton with periodic wave interactive solution nonlocal symmetry Backlund transformation mKdV-sG equation 

分 类 号：O175[理学—数学]