INTEGRABLE MAPPINGS AND NONLINEAR INTEGRABLE LATTICE EQUATIONS

被引：124

作者：

PAPAGEORGIOU, VG

NIJHOFF, FW

CAPEL, HW

机构：

[1] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13676 USA

[2] UNIV AMSTERDAM, INST THEORET FYS, 1018 XE AMSTERDAM, NETHERLANDS

来源：

PHYSICS LETTERS A | 1990年 / 147卷 / 2-3期

关键词：

D O I：

10.1016/0375-9601(90)90876-P

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Periodic initial value problems of time and space discretizations of integrable partial differential equations give rise to multi-dimensional integrable mappings. Using the associated linear spectral problems (Lax pairs), a systematic derivation is given of the corresponding sets of polynomial invariants. The level sets are algebraic varieties on which the trajectories of the corresponding dynamical systems lie. © 1990.

引用

收藏

页码：106 / 114

页数：9

相关论文

共 40 条

[11] DYNAMICAL MAPS, CANTOR SPECTRA, AND LOCALIZATION FOR FIBONACCI AND RELATED QUASIPERIODIC LATTICES [J].

GUMBS, G ;

ALI, MK .

PHYSICAL REVIEW LETTERS, 1988, 60 (11) :1081-1084

[12]

HELLEMAN RHG, 1983, LONG TIME PREDICTION

[13] NUMERICALLY INDUCED CHAOS IN THE NONLINEAR SCHRODINGER-EQUATION [J].

HERBST, BM ;

ABLOWITZ, MJ .

PHYSICAL REVIEW LETTERS, 1989, 62 (18) :2065-2068

[14] DISCRETE ANALOG OF A GENERALIZED TODA EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (11) :3785-3791

[15] 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

[16] NONLINEAR PARTIAL DIFFERENCE EQUATIONS .1. DIFFERENCE ANALOG OF KORTEWEG-DEVRIES EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (04) :1424-1433

[17] NON-LINEAR PARTIAL DIFFERENCE EQUATIONS 3 - DISCRETE SINE-GORDON EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (06) :2079-2086

[18]

JACOBI CGJ, 1927, AM MATH SOC COLL PUB, V9

[19] LOCALIZATION PROBLEM IN ONE DIMENSION - MAPPING AND ESCAPE [J].

KOHMOTO, M ;

KADANOFF, LP ;

TANG, C .

PHYSICAL REVIEW LETTERS, 1983, 50 (23) :1870-1872

[20] LOCALIZATION IN OPTICS - QUASI-PERIODIC MEDIA [J].

KOHMOTO, M ;

SUTHERLAND, B ;

IGUCHI, K .

PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2436-2438

← 1 2 3 4 →