求非线性薛定谔方程的行波解的一种新途径  

A New Method to Explicit Traveling Wave Solutions of the NLS Equation

作　　者：钟太勇[1] 贾卫红[1] 余展翅[1] 

机构地区：[1]郧阳师范高等专科学校数学系,湖北十堰442000

出　　处：《郧阳师范高等专科学校学报》2010年第3期7-9,共3页Journal of Yunyang Teachers College

摘　　要：利用形变映射法,建立NLS方程与Klein-Gordon(NKG)非线性方程的一类特殊类型解的代数变换关系,根据NKG方程的已知解,获得NLS方程系统丰富的显式精确行波解,包括孤波解,周期波解,雅可比椭圆函数解.Deformation mapping method is applied to obtain exact solutions of the NLS equation. A simple algebraic transformation relation of a special type of solution between the NLS equation and the cubic nonlinear Klein-- Gordon （NKG） equation is established. With the aid of this relation and known solutions of the NKG equation, abundant explicit and exact traveling wave solutions, which contain solitary wave solutions, periodic wave solutions, Jacobian elliptic function solutions and others exaet solutions, are obtained.

关 键 词：形变映射法 NLS方程 非线性Klein-Gordon(NKG)方程 行波解 

分 类 号：O175.29[理学—数学]