On a class of rational and mixed soliton-rational solutions of the Toda lattice

被引：10

作者：

Carstea, AS

Grecu, D

机构：

来源：

PROGRESS OF THEORETICAL PHYSICS | 1996年 / 96卷 / 01期

关键词：

D O I：

10.1143/PTP.96.29

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of rational solutions of the Toda lattice satisfying certain Backlund transformations and a class of mixed rational-soliton solutions (quasisolitons) in wronskian form are obtained using the method of Ablowitz and Satsuma. Also an extended class of rational solutions are found using an appropriate recursion relation. They are also solutions of the Boussinesq equation, and it is conjectured that there is a larger class of common solutions of both equations.

引用

页码：29 / 36

页数：8

共 16 条

[1] SOLITONS AND RATIONAL SOLUTIONS OF NON-LINEAR EVOLUTION EQUATIONS [J].

ABLOWITZ, MJ ;

SATSUMA, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (10) :2180-2186

[2] SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION [J].

ABLOWITZ, MJ ;

CORNILLE, H .

PHYSICS LETTERS A, 1979, 72 (4-5) :277-280

[3]

ABLOWITZ MJ, 1981, CR ACAD SCI I-MATH, V292, P279

[4]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4

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

ADLER, M ;

MOSER, J .

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

[6]

AIRAULT H, 1981, 80 U PAR

[7]

AIRAULT H, 1977, COMMUN PURE APPL MAT, V30, P25

[8]

CARSTEA AS, 1995, INT C NONL DYN CHAOT

[9]

GIBBON J, 1978, SOLITONS CONDENSED M, V8, P44

[10]

GRECU D, 1988, REV ROUM PHYS, V33, P3

← 1 2 →