CONSTRUCTING SOLUTIONS OF THE MKDV-EQUATION

被引:13
作者
GESZTESY, F [1 ]
SIMON, B [1 ]
机构
[1] CALTECH,DIV PHYS MATH & ASTRON,PASADENA,CA 91125
关键词
D O I
10.1016/0022-1236(90)90003-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using commutation methods (i.e., N = 1 supersymmetry) underlying Miura's transformation, an explicit construction of solutions of the modified Korteweg-de Vries equation, given a solution of the (ordinary) Korteweg-de Vries equation, is provided. © 1990.
引用
收藏
页码:53 / 60
页数:8
相关论文
共 18 条
[1]   CLASS OF POLYNOMIALS CONNECTED WITH KORTEWEG-DEVRIES EQUATION [J].
ADLER, M ;
MOSER, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (01) :1-30
[2]   SOME REMARKS ON SCATTERING-THEORY IN SUPERSYMMETRIC QUANTUM-SYSTEMS [J].
ARAI, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (02) :472-476
[3]   SUPERSYMMETRY AND SINGULAR PERTURBATIONS [J].
ARAI, A .
JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 60 (03) :378-393
[4]   WITTEN INDEX, AXIAL ANOMALY, AND KREIN SPECTRAL SHIFT FUNCTION IN SUPERSYMMETRIC QUANTUM-MECHANICS [J].
BOLLE, D ;
GESZTESY, F ;
GROSSE, H ;
SCHWEIGER, W ;
SIMON, B .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (07) :1512-1525
[5]   RELATIVE INDEX THEOREMS AND SUPERSYMMETRIC SCATTERING-THEORY [J].
BORISOV, NV ;
MULLER, W ;
SCHRADER, R .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 114 (03) :475-513
[6]   APPLICATIONS OF A COMMUTATION FORMULA [J].
DEIFT, PA .
DUKE MATHEMATICAL JOURNAL, 1978, 45 (02) :267-310
[7]  
ECKHAUS W, 1981, MATH STUDIES, V50
[8]  
GESZTESY F, 1986, LECT NOTES MATH, V1218, P93
[9]  
GESZTESY F, UNPUB COMMUTATION ME
[10]  
Hartman P., 2002, ORDINARY DIFFERENTIA, V2