An extended Jacobian elliptic function method for the discrete mKdV lattice

Abstract

In this paper, the discrete mKdV lattice is solved by using the modified Jacobian elliptic function expansion method. As a consequence, abundant families of Jacobian elliptic function solutions are obtained. When the modulus m→1, these periodic solutions degenerate to the corresponding solitary wave solutions, including bell-type and kink-type excitations.