NONLINEAR SUPERPOSITION FORMULAS FOR THE DIFFERENTIAL-DIFFERENCE ANALOG OF THE KDV EQUATION AND 2-DIMENSIONAL TODA EQUATION

被引：35

作者：

HU, XB ^{[1
]}

机构：

[1] CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 01期

关键词：

D O I：

10.1088/0305-4470/27/1/014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, nonlinear superposition formulae of the differential-difference analogue of the KdV equation and two-dimensional Toda equation are proved rigorously. Some particular solutions of the differential-difference analogue of the KdV equation are given as an illustrative application of the obtained result.

引用

页码：201 / 214

页数：14

共 30 条

[1] BACKLUND TRANSFORMATION SOLUTIONS OF TODA LATTICE EQUATION
CHEN, HH
LIU, CS
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (07) : 1428 - 1430
[2] Darboux G., 1915, LECONS THEORIE SURFA, V2
[3] NONLINEAR PARTIAL DIFFERENCE EQUATIONS .1. DIFFERENCE ANALOG OF KORTEWEG-DEVRIES EQUATION
HIROTA, R
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (04) : 1424 - 1433
[4] Hirota R., 1976, Progress of Theoretical Physics Supplement, P64, DOI 10.1143/PTPS.59.64
[5] SIMPLE STRUCTURE OF SUPERPOSITION FORMULA OF BACKLUND TRANSFORMATION
HIROTA, R
SATSUMA, J
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1978, 45 (05) : 1741 - 1750
[6] Hirota R., 1980, DIRECT METHODS SOLIT
[7] Hu X, 1988, ACTA MATH APPL SIN, V4, P46, DOI [10.1007/BF02018713, DOI 10.1007/BF02018713]
[8] Hu X B., 1993, APPL MATH J CHINES A, V8, P17
[9] 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
[10] SOME RESULTS ON THE CAUDREY-DODD-GIBBON-KOTERA-SAWADA EQUATION
HU, XB
LI, Y
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (14): : 3205 - 3212

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