具有分布系数的(2+1)维非线性薛定谔方程的精确自相似解  

The Exact Self-Similar Solutions to the(2+1)-Dimensional Generalized Nonlinear Schrodinger Equation with Distributed Coefficients

作　　者：费金喜[1] 

机构地区：[1]丽水学院理学院,浙江丽水323000

出　　处：《丽水学院学报》2013年第5期22-26,共5页Journal of Lishui University

基　　金：浙江省自然科学基金资助项目(Y6110140);浙江省教育厅科研项目(Y201120994)

摘　　要：在已知的映射方程解的基础之上,利用自相似映射方法,通过选择合适的系统参数,给出具有分布系数的(2+1)维非线性薛定谔系统丰富的精确自相似解,得出系统的可积约束条件,并讨论自相似解的动力学行为。Based on the known exact solutions to a self-similar mapping equation, with the aid of a direct self- similar mapping approach, abundant exact self-similar solutions to the （2 ＋1）-dimensional generalized nonlinear Schrodinger equation with distributed coefficients is derived by entrancing appropriate system parameters. The integrable constraint conditions for the （2＋1）-dimensional generalized nonlinear Schr6dinger system is obtained naturally. Meanwhile, the dynamic behaviors of the self-similar solutions are discussed.

关 键 词：(2+1)维非线性薛定谔系统 自相似映射 自相似解 动力学行为 

分 类 号：O193[理学—数学]