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Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation
Authors:Ji Lin  Xin-Wei Jin  Xian-Long Gao  Sen-Yue Lou
Institution:1.Department of Physics, Zhejiang Normal University, Jinhua 321004, China;2.Faculty of Science, Ningbo University, Ningbo 315211, China
Abstract:The Bäcklund transformation(BT) of the mKdV-sG 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.
Keywords:soliton with periodic wave interactive solution  nonlocal symmetry    cklund transformation  mKdV-sG equation  
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