Hybrid-Lattice系统和Ablowitz-Ladik-Lattice系统的新解探索

对tanh函数方法进行了对称延拓，并拓广了它的应用范围，将其应用于非线性离散系统的求解.研究了Hybrid Lattice系统和Ablowitz Ladik Lattice系统.得到了方程的孤波解和周期波解. 关键词： 改进的tanh函数方法 离散系统 孤波解 周期波解     

General Jacobian elliptic function expansion method and its applications

An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schr?dinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems.