SOME RESULTS ON THE CAUDREY-DODD-GIBBON-KOTERA-SAWADA EQUATION

被引：24

作者：

HU, XB ^{[1
]}

LI, Y ^{[1
]}

机构：

[1] TONG JI UNIV,DEPT APPL MATH,SHANGHAI,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 14期

关键词：

D O I：

10.1088/0305-4470/24/14/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a hierarchy of bilinear Caudrey-Dodd-Gibbon-Kotera-Sawada equations with a unified structure is proposed. A nonlinear superposition formula for the CDGKS equation is proved under certain conditions. A Backlund transformation for a higher-order CDGKS equation is presented.

引用

页码：3205 / 3212

页数：8

共 15 条

[1] NEW HIERARCHY OF KORTEWEG-DEVRIES EQUATIONS
CAUDREY, PJ
DODD, RK
GIBBON, JD
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1976, 351 (1666) : 407 - 422
[2] TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS .4. A NEW HIERARCHY OF SOLITON-EQUATIONS OF KP-TYPE
DATE, E
JIMBO, M
KASHIWARA, M
MIWA, T
[J]. PHYSICA D, 1982, 4 (03): : 343 - 365
[3] Date E., 1982, PUBL RES I MATH SCI, V18, P1077
[4] PROLONGATION STRUCTURE OF A HIGHER-ORDER KORTEWEG-DE VRIES EQUATION
DODD, RK
GIBBON, JD
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 358 (1694) : 287 - 296
[5] HIROTA R, 1980, SOLITONS
[6] NONLINEAR SUPERPOSITION FORMULAS OF THE ITO EQUATION AND A MODEL EQUATION FOR SHALLOW-WATER WAVES
HU, XB
LI, Y
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (09): : 1979 - 1986
[7] HU XB, 1989, BILINEARIZATION KDV
[8] HU XB, 1989, NONLINEAR SUPERPOSIT
[9] Ibragimov N. Kh., 1985, TRANSFORMATION GROUP
[10] INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES
LAX, PD
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1968, 21 (05) : 467 - +

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