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.