INVARIANTS OF THE NON-LINEAR SCHRODINGER EQUATION

被引:5
作者
JOHNSON, SF [1 ]
LONNGREN, KE [1 ]
NICHOLSON, DR [1 ]
机构
[1] UNIV IOWA,DEPT PHYS & ASTRON,IOWA CITY,IA 52242
基金
美国国家科学基金会;
关键词
D O I
10.1016/0375-9601(79)90233-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the infinitesimal tranformation of Lie theory, the invariants of the nonlinear Schrödinger (NLS) equation ψxx + iψt + K|ψ|2ψ = 0 are studied. The permissible groups are constructed and the associated group invariants (similar variables) are obtained. © 1979.
引用
收藏
页码:393 / 394
页数:2
相关论文
共 5 条
[1]  
AMES WF, 1972, NONLINEAR PARTIAL DI, V2, pCH2
[2]  
AMES WF, 1965, NONLINEAR PARTIAL DI, V1, pCH4
[3]  
JOHNSON SF, 1979, THESIS U IOWA
[4]  
LONNGREN K, 1978, SOLITONS ACTION
[5]   INVARIANT SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].
SHEN, H ;
AMES, WF .
PHYSICS LETTERS A, 1974, A 49 (04) :313-314