DIFFERENTIAL-DIFFERENCE EVOLUTION EQUATIONS .2. (DARBOUX TRANSFORMATION FOR THE TODA LATTICE)

被引：85

作者：

MATVEEV, VB

SALLE, MA

机构：

[1] Laboratoire de Physique Mathématique, Université de Sciences et Techniques du Languedoc, Montpellier

[2] Institut of Exact Mechanics and Optics, Leningrad

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1979年 / 3卷 / 05期

关键词：

D O I：

10.1007/BF00397217

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Toda lattice equation is represented in the form of the condition of compatibility of the system of linear equations corresponding to a non-Hermitian Lax representation. The Darboux invariance of this linear system is defined and proved in the text, and enables us to construct some new formulas for the solutions of the Toda lattice equation. These formulas involving determinants are applicable to an arbitrary initial solution of the Toda equation for example to a solution growing at infinity. © 1979 D. Reidel Publishing Company.

引用

页码：425 / 429

页数：5

共 11 条

[1]

BORDAG LA, 1979, LPTHE796 PREPR

[2]

DUBROVIN BA, 1976, USP MATH NAUK, V31

[3] TODA LATTICE .2. EXISTENCE OF INTEGRALS [J].

FLASCHKA, H .

PHYSICAL REVIEW B, 1974, 9 (04) :1924-1925

[4]

GAUTMACHER FR, 1960, OSZILLATIONS MATRIZE

[5]

HARTMAN P, 1978, T AM MATH SOC, V246, P3

[6]

KRICHEVER IM, 1978, USP MAT NAUK, V33

[7]

MANAKOV SV, 1974, ZH EKSP TEOR FIZ+, V67, P543

[8] DARBOUX TRANSFORMATION AND THE EXPLICIT SOLUTIONS OF DIFFERENTIAL-DIFFERENCE AND DIFFERENCE-DIFFERENCE EVOLUTION EQUATIONS .1. [J].

MATVEEV, VB .

LETTERS IN MATHEMATICAL PHYSICS, 1979, 3 (03) :217-222

[9]

MATVEEV VB, 1979, LPTHE7911 PREPR

[10]

MATVEEV VB, 1979, LPTHE797 PREPR

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