Exact Solutions Expressible in Rational Formal Hyperbolic and Elliptic Functions for Nonlinear Differential-Difference Equation

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（8）
• 页码范围: 303-308
• 页数: 6页
• 语种: 英文

摘要

A new approach is presented by means of a new general ansatz and some relations among Jacobian elliptic functions, which enables one to construct more new exact solutions of nonlinear differential-difference equations. As an example, we apply this new method to Hybrid lattice, discretized mKdV lattice, and modified Volterra lattice. As a result, many exact solutions expressible in rational formal hyperbolic and elliptic functions are conveniently obtained with the help of Maple.