An integrable generalization of the nonlinear Schrodinger equation on the half-line and solitons

被引：100

作者：

Lenells, J. ^{[1
]}

Fokas, A. S. ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

INVERSE PROBLEMS | 2009年 / 25卷 / 11期

基金：

英国工程与自然科学研究理事会;

关键词：

BOUNDARY VALUE-PROBLEM; PDES;

D O I：

10.1088/0266-5611/25/11/115006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze initial-boundary value problems for an integrable generalization of the nonlinear Schrodinger equation formulated on the half-line. In particular, we investigate the so-called linearizable boundary conditions, which in this case are of Robin type. Furthermore, we use a particular solution to verify explicitly all the steps needed for the solution of a well-posed problem.

引用

页数：32

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