拓展的Riccatic方程映射法在非线性联立薛定谔方程中的应用  

The application of the extended mapping method of the Riccati equation in the nonlinear simultaneous Schrodinger equation

作　　者：吴小红[1] 

机构地区：[1]丽水学院物理系,浙江丽水323000

出　　处：《西北师范大学学报（自然科学版）》2007年第3期34-36,共3页Journal of Northwest Normal University(Natural Science)

摘　　要：利用拓展的Riccati方程映射法,研究了非线性联立薛定谔方程(负KdV方程).在σ取不同值时得到了方程的孤波解、周期波解和变量分离解.With the help of the extended mapping method of the Riecati equation, the nonlinear simultaneous Schroedinger equation （negative KdV equation） is discussed. The solitary solutions, periodic wave solutions and variable separation solutions are obtained respectively when taking the different values of a.

关 键 词：联立薛定谔方程 孤波解 周期波解 变量分离解 

分 类 号：O415[理学—理论物理]