NONLINEAR DIFFUSION-EQUATIONS, INTEGRABILITY AND THE PAINLEVE PROPERTY

被引:7
作者
STEEB, WH [1 ]
GRAUEL, A [1 ]
KLOKE, M [1 ]
SPIEKER, BM [1 ]
机构
[1] UNIV GESAMTHSCH PADERBORN,D-4790 PADERBORN,FED REP GER
来源
PHYSICA SCRIPTA | 1985年 / 31卷 / 01期
关键词
D O I
10.1088/0031-8949/31/1/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:5 / 9
页数:5
相关论文
共 36 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]  
Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI DOI 10.1137/1.9781611970883
[3]   THE ALGEBRAIC INTEGRABILITY OF GEODESIC-FLOW ON SO(4) [J].
ADLER, M ;
VANMOERBEKE, P .
INVENTIONES MATHEMATICAE, 1982, 67 (02) :297-331
[4]   ON THE REMARKABLE NON-LINEAR DIFFUSION EQUATION (DELTA-DELTA-X)(A(U+B)-2(DELTA-U-DELTA-X))-(DELTA-U-DELTA-T) = 0 [J].
BLUMAN, G ;
KUMEI, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) :1019-1023
[5]   SYMMETRIES OF NON-LINEAR DIFFUSION-EQUATIONS [J].
BRANSON, TP ;
STEEB, WH .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (03) :469-472
[6]   THE ANALYTIC STRUCTURE OF DYNAMICAL-SYSTEMS AND SELF-SIMILAR NATURAL BOUNDARIES [J].
CHANG, YF ;
GREENE, JM ;
TABOR, M ;
WEISS, J .
PHYSICA D, 1983, 8 (1-2) :183-207
[7]   ON THE COMPLETE-INTEGRABILITY OF THE HIROTA SATSUMA SYSTEM [J].
CHOWDHURY, AR ;
MUKHERJEE, R .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (05) :L231-L234
[8]   PAINLEVE PROPERTY AND MULTICOMPONENT ISOSPECTRAL DEFORMATION EQUATIONS [J].
CHUDNOVSKY, DV ;
CHUDNOVSKY, GV ;
TABOR, M .
PHYSICS LETTERS A, 1983, 97 (07) :268-274
[9]   THE ZAKHAROV EQUATIONS - A NON-PAINLEVE SYSTEM WITH EXACT N SOLITON-SOLUTIONS [J].
GOLDSTEIN, P ;
INFELD, E .
PHYSICS LETTERS A, 1984, 103 (1-2) :8-10
[10]  
HASTINGS SP, 1980, ARCH RAT MECH ANAL, V73, P39