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 $m\rightarrow 1$, these periodic solutions degenerate to the corresponding solitary wave solutions, includingbell-type and kink-type excitations.
Received: 02 June 2004
Revised: 16 July 2004
Accepted manuscript online:
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