LIE SYMMETRIES OF A GENERALIZED NON-LINEAR SCHRODINGER-EQUATION .2. EXACT-SOLUTIONS

被引：88

作者：

GAGNON, L ^{[1
]}

WINTERNITZ, P ^{[1
]}

机构：

[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1989年 / 22卷 / 05期

关键词：

D O I：

10.1088/0305-4470/22/5/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：469 / 497

页数：29

共 17 条

[1] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1.
ABLOWITZ, MJ
RAMANI, A
SEGUR, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) : 715 - 721
[2] Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI DOI 10.1137/1.9781611970883
[3] Bluman G.W., 1974, SIMILARITY METHODS D
[4] NON-LINEAR SCHRODINGER-EQUATION, BACKLUND-TRANSFORMATIONS AND PAINLEVE TRANSCENDENTS
BOITI, M
PEMPINELLI, F
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1980, 59 (01): : 40 - 58
[5] LIE SYMMETRIES OF A GENERALIZED NON-LINEAR SCHRODINGER-EQUATION .1. THE SYMMETRY GROUP AND ITS SUBGROUPS
GAGNON, L
WINTERNITZ, P
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (07): : 1493 - 1511
[6] GAGNON L, 1989, IN PRESS PHYS REV A, V39
[7] GAGNON L, 1989, IN PRESS PHYS LETT A
[8] Gambier B, 1910, ACTA MATH-DJURSHOLM, V33, P1, DOI [10.1007/BF02393211, DOI 10.1007/BF02393211)]
[9] Ince E. L., 1956, ORDINARY DIFFERENTIA
[10] Lie S., 1891, VORLESUNGEN DIFFEREN