MULTICOMPONENT NONLINEAR SCHRODINGER EQUATIONS WITH CONSTANT BOUNDARY CONDITIONS

被引：2
|
作者：
Gerdjikov, V. S. [1 ]
Kostov, N. A. [1 ]
Valchev, T. I. [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, Sofia, Bulgaria
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 159卷 / 03期
关键词：
multicomponent nonlinear Schrodinger equation; constant boundary condition; fundamental analytic solution; TRANSFORMATION;
D O I：
10.1007/s11232-009-0067-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We outline several specific issues concerning the theory of multicomponent nonlinear Schrodinger equations with constant boundary conditions. We first study the spectral properties of the Lax operator L, the structure of the phase space M, and the construction of the fundamental analytic solutions. We then consider the regularized Wronskian relations, which allow analyzing the map between the potential of L and the scattering data. The Hamiltonian formulation also requires a regularization procedure.
引用
收藏
页码：787 / 795
页数：9
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