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Jacobian Elliptic Function Method and Solitary Wave Solutions for Hybrid Lattice Equation
Authors:WANG Rui-Min  DAI Chao-Qing  ZHANG Jie-Fang
Affiliation:1. College of Jinhua Professional Technology, Jinhua 321000, China ;2. Institute of Nonlinear Physics, Zhejiang Normal University,Jinhua 321004, China
Abstract:In this paper, we have successfully extended the Jacobian ellipticfunction expansion approach to nonlinear differential-differenceequations. The Hybrid lattice equation is chosen to illustrate this approach. As a consequence, twelve families of Jacobian elliptic function solutions with different parameters of the Hybrid lattice equation are obtained. When the modulus m→1 or 0, doubly-periodic solutions degenerate to solitonic solutions and trigonometric function solutions, respectively.
Keywords:extended Jacobian elliptic function expansion approach  hybrid lattice equation   Jacobian elliptic function solutions   solitonicsolutions   trigonometric function solutions   
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