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

Improved tanh-function method and the exact solutions for the hybrid-lattice and Ablowitz-Ladik-lattice

作　　者：朱加民[1] 马正义[1] 郑春龙[1] 

机构地区：[1]丽水学院物理系,丽水323000

出　　处：《物理学报》2005年第2期483-489,共7页Acta Physica Sinica

基　　金：浙江省自然科学基金 (批准号 :10 0 0 3 9);浙江省重点扶持学科 (批准号 :2 0 0 3 3 7);丽水学院青年基金 (批准号 :QN0 40 0 8)资助的课题~~

摘　　要：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 .In this paper, by using the improved tanh-method, the hybrid-lattice system and Ablowitz-ladik-lattice system are reduced to nonlinear algebraic equations, and then the new exact solutions for these equations, which include exact soliton wave solutions and periodic solutions, are obtained through solving these nonlinear algebraic equations.

关 键 词：周期波解 孤波解 拓广 求解 对称延拓 非线性离散系统 函数方法 E系统 研究 

分 类 号：O415.5[理学—理论物理]