Relaxation scheme for the nonlinear Schrodinger equation and Davey-Stewartson systems

被引：28

作者：

Besse, C

机构：

[1] Univ Bordeaux 1, UPRESA 5466, F-33405 Talence, France

[2] Univ Toulouse 3, UFR MIG, F-31062 Toulouse 4, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 12期

关键词：

D O I：

10.1016/S0764-4442(98)80405-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce a new numerical scheme for the nonlinear Schrodinger equation and the Davey-Stewartson systems. This is a relaxation type;scheme that avoids the resolution of nonlinear systems. We give convergence results for the semi-discret version, locally in time for all data and globally in time for small data. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：1427 / 1432

页数：6

共 6 条

[1]

BESSE C, 1997, 97031 MATH APPL BORD

[2]

BESSE C, 1998, THESIS U BORDEAUX 1

[3] The Cauchy problem and the continuous limit for the multilayer model in geophysical fluid dynamics [J].