THE CONNECTION BETWEEN PARTIAL-DIFFERENTIAL EQUATIONS SOLUBLE BY INVERSE SCATTERING AND ORDINARY DIFFERENTIAL-EQUATIONS OF PAINLEVE TYPE

被引:94
作者
MCLEOD, JB [1 ]
OLVER, PJ [1 ]
机构
[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455
关键词
D O I
10.1137/0514042
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:488 / 506
页数:19
相关论文
共 39 条
[12]  
Gelfand I.M., 1977, FUNCT ANAL APPL+, V11, P93
[13]  
Gelfand I.M., 1955, T AM MATH SOC, V1, P253
[14]  
GIBBONS J, CLASS INTEGRABLE NON
[15]   A BOUNDARY-VALUE PROBLEM ASSOCIATED WITH THE 2ND PAINLEVE TRANSCENDENT AND THE KORTEWEG-DE VRIES EQUATION [J].
HASTINGS, SP ;
MCLEOD, JB .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1980, 73 (01) :31-51
[16]  
HILLE E, 1968, LECTURES ORDINARY DI
[17]  
Ince E. L., 1944, ORDINARY DIFFERENTIA, pviii+558
[18]  
KAUP DJ, 1980, STUD APPL MATH, V62, P189
[19]  
KAUP DJ, 1976, STUD APPL MATH, V55, P9
[20]  
LAMB GL, 1980, ELEMENTS SOLITON THE