Inverse scattering method for square matrix nonlinear Schrodinger equation under nonvanishing boundary conditions

被引：45
|
作者：
Ieda, Jun'ichi
Uchiyama, Masaru
Wadati, Miki
机构：
[1] Tohoku Univ, Inst Mat Res, Aoba Ku, Sendai, Miyagi 9808577, Japan
[2] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 01期
关键词：
D O I：
10.1063/1.2423222
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Matrix generalization of the inverse scattering method is developed to solve the multicomponent nonlinear Schrodinger equation with nonvanishing boundary conditions. It is shown that the initial value problem can be solved exactly. The multi-soliton solution is obtained from the Gel'fand-Levitan-Marchenko [Amer. Math. Soc. Transl. 1, 253 (1955)] equation. (c) 2007 American Institute of Physics.
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页数：19
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