A variational approach to nonlinear evolution equations in optics

被引：56

作者：

Anderson, D ^{[1
]}

Lisak, M

Berntson, A

机构：

[1] Chalmers Univ Technol, Dept Electromagnet, SE-41296 Gothenburg, Sweden

[2] Ericsson Telecom AB, SE-12625 Stockholm, Sweden

来源：

PRAMANA-JOURNAL OF PHYSICS | 2001年 / 57卷 / 5-6期

关键词：

variational method; Rayleigh-Ritz optimization; nonlinear Schrodinger equation; Euler-Lagrange equation; Bose-Einstein condensates; magnetic trap;

D O I：

10.1007/s12043-001-0006-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A tutorial review is presented of the use of direct variational methods based on Rayleigh-Ritz optimization for finding approximate solutions to various nonlinear evolution equations. The practical application of the approach is demonstrated by some illustrative examples in connection with the nonlinear Schrodinger equation.

引用

页码：917 / 936

页数：20

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