SYMMETRY AND EXPLICIT SOLUTIONS OF PARTIAL-DIFFERENTIAL EQUATIONS

被引:31
作者
OLVER, PJ
机构
[1] Department of Mathematics, University of Minnesota, Minneapolis
基金
美国国家科学基金会;
关键词
D O I
10.1016/0168-9274(92)90047-H
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:307 / 324
页数:18
相关论文
共 28 条
[1]   A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721
[2]  
[Anonymous], 1983, METHOD DIFFERENTIAL
[3]  
Birkhoff G., 1950, HYDRODYNAMICS STUDY
[4]  
Bluman G. W., 1989, SYMMETRIES DIFFERENT
[5]  
BLUMAN GW, 1969, J MATH MECH, V18, P1025
[6]  
Bryant R.L., 1991, MATH SCI RES I PUBLI, V18, DOI [10.1007/978-1-4613-9714-4, DOI 10.1007/978-1-4613-9714-4]
[7]   THE COMPUTER CALCULATION OF LIE POINT SYMMETRIES OF LARGE SYSTEMS OF DIFFERENTIAL-EQUATIONS [J].
CHAMPAGNE, B ;
HEREMAN, W ;
WINTERNITZ, P .
COMPUTER PHYSICS COMMUNICATIONS, 1991, 66 (2-3) :319-340
[8]   NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION [J].
CLARKSON, PA ;
KRUSKAL, MD .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) :2201-2213
[9]  
Galaktionov V. A., 1990, DIFFER INTEGRAL EQU, V3, P863
[10]   Transformations leaving invariant the heat equation of physics [J].
Goff, JA .
AMERICAN JOURNAL OF MATHEMATICS, 1927, 49 :117-122