THE PAINLEVE PROPERTY AND A PARTIAL-DIFFERENTIAL EQUATION WITH AN ESSENTIAL SINGULARITY

被引:35
作者
CLARKSON, PA
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关键词
D O I
10.1016/0375-9601(85)90303-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
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页码:205 / 208
页数:4
相关论文
共 9 条
[1]   NON-LINEAR EVOLUTION EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF PAINLEVE TYPE [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
LETTERE AL NUOVO CIMENTO, 1978, 23 (09) :333-338
[2]   A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2. [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) :1006-1015
[3]   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
[4]   METHOD FOR SOLVING SINE-GORDON EQUATION [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 30 (25) :1262-1264
[5]  
CLARKSON PA, UNPUB PHYSICA D
[6]  
KRUSKAL MD, COMMUNICATION
[7]   THE CONNECTION BETWEEN PARTIAL-DIFFERENTIAL EQUATIONS SOLUBLE BY INVERSE SCATTERING AND ORDINARY DIFFERENTIAL-EQUATIONS OF PAINLEVE TYPE [J].
MCLEOD, JB ;
OLVER, PJ .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (03) :488-506
[8]   THE PAINLEVE PROPERTY FOR PARTIAL-DIFFERENTIAL EQUATIONS [J].
WEISS, J ;
TABOR, M ;
CARNEVALE, G .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (03) :522-526
[9]   THE PAINLEVE PROPERTY FOR PARTIAL-DIFFERENTIAL EQUATIONS .2. BACKLUND TRANSFORMATION, LAX PAIRS, AND THE SCHWARZIAN DERIVATIVE [J].
WEISS, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (06) :1405-1413