Casorati determinant solution for the discrete-time relativistic Toda lattice equation

被引：19

作者：

Maruno, K ^{[1
]}

Kajiwara, K

Oikawa, M

机构：

[1] Kyushu Univ, Dept Earth Syst Sci & Technol, Kasuga, Fukuoka 816, Japan

[2] Doshisha Univ, Dept Elect Engn, Kyoto 61003, Japan

[3] Kyushu Univ, Appl Mech Res Inst, Kasuga, Fukuoka 816, Japan

来源：

PHYSICS LETTERS A | 1998年 / 241卷 / 06期

关键词：

D O I：

10.1016/S0375-9601(98)00150-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The discrete-time relativistic Toda lattice (dRTL) equation is investigated by using the bilinear formalism. Bilinear equations are systematically constructed with the aid of the singularity confinement method. It is shown that the dRTL equation is decomposed into the Backlund transformations of the discrete-time Toda lattice equation. The N-soliton solution is explicitly constructed in the form of the Casorati determinant. (C) 1998 Published by Elsevier Science B.V.

引用

页码：335 / 343

页数：9

共 12 条

[1] SOLITON-SOLUTIONS OF THE KORTEWEG-DEVRIES AND KADOMTSEV-PETVIASHVILI EQUATIONS - THE WRONSKIAN TECHNIQUE [J].

FREEMAN, NC ;

NIMMO, JJC .

PHYSICS LETTERS A, 1983, 95 (01) :1-3

[2] DO INTEGRABLE MAPPINGS HAVE THE PAINLEVE PROPERTY [J].

GRAMMATICOS, B ;

RAMANI, A ;

PAPAGEORGIOU, V .

PHYSICAL REVIEW LETTERS, 1991, 67 (14) :1825-1828

[3] NON-LINEAR PARTIAL DIFFERENCE EQUATIONS .2. DISCRETE-TIME TODA EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (06) :2074-2078

[4]

HIROTA R, 1988, PROG THEOR PHYS SUPP, P42, DOI 10.1143/PTPS.94.42

[5] Bilinearization of discrete soliton equations and singularity confinement [J].

Maruno, K ;

Kajiwara, K ;

Nakao, S ;

Oikawa, M .

PHYSICS LETTERS A, 1997, 229 (03) :173-182

[6] CASORATI AND DISCRETE GRAM TYPE DETERMINANT REPRESENTATIONS OF SOLUTIONS TO THE DISCRETE KP HIERARCHY [J].

OHTA, Y ;

HIROTA, R ;

TSUJIMOTO, S ;

IMAI, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (06) :1872-1886

[7] CASORATI DETERMINANT SOLUTION FOR THE RELATIVISTIC TODA LATTICE EQUATION [J].

OHTA, Y ;

KAJIWARA, K ;

MATSUKIDAIRA, J ;

SATSUMA, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (11) :5190-5204

[8] BILINEAR DISCRETE PAINLEVE EQUATIONS [J].

RAMANI, A ;

GRAMMATICOS, B ;

SATSUMA, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (16) :4655-4665

[9] RELATIVISTIC TODA SYSTEMS [J].

RUIJSENAARS, SNM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 133 (02) :217-247

[10] A discrete-time relativistic Toda lattice [J].

Suris, YB .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (02) :451-465

← 1 2 →