FACTORIZATION OF OPERATORS .1. MIURA-TRANSFORMATIONS

被引：101

作者：

FORDY, AP

GIBBONS, J

机构：

[1] School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 4

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 10期

关键词：

D O I：

10.1063/1.524357

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The method of factorization of operators, which has been used to derive the Miura transformation of the KdV equation, is here extended to some third-order scattering operators, and transformations between several fifth-order nonlinear evolution equations are derived. Further applications are discussed. © 1980 American Institute of Physics.

引用

收藏

页码：2508 / 2510

页数：3

相关论文

共 15 条

[1]

ABRAHAM R, 1978, F MECHANICS, P465

[2] CLASS OF POLYNOMIALS CONNECTED WITH KORTEWEG-DEVRIES EQUATION [J].

ADLER, M ;

MOSER, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (01) :1-30

[3] NEW HIERARCHY OF KORTEWEG-DEVRIES EQUATIONS [J].

CAUDREY, PJ ;

DODD, RK ;

GIBBON, JD .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1976, 351 (1666) :407-422

[4] PROLONGATION STRUCTURE OF A HIGHER-ORDER KORTEWEG-DE VRIES EQUATION [J].

DODD, RK ;

GIBBON, JD .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 358 (1694) :287-296

[5] SOME REMARKABLE NON-LINEAR TRANSFORMATIONS [J].

FORDY, AP ;

GIBBONS, J .

PHYSICS LETTERS A, 1980, 75 (05) :325-325

[6]

FORDY AP, DIAS PREPRINT

[7] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .4. KORTEWEG-DE VRIES EQUATION AS A HAMILTONIAN SYSTEM [J].

GARDNER, CS .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (08) :1548-&

[8]

KUPERSHMIDT BA, COMMUNICATION

[9] KORTEWEG-DE VRIES EQUATION AND GENERALIZATIONS .I. A REMARKABLE EXPLICIT NONLINEAR TRANSFORMATION [J].

MIURA, RM .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (08) :1202-&

[10] KORTEWEG-DEVRIES EQUATION - SURVEY OF RESULTS [J].

MIURA, RM .

SIAM REVIEW, 1976, 18 (03) :412-459