LINEARIZATION AND SOLUTIONS OF THE DISCRETE PAINLEVE-III EQUATION

被引：48

作者：

GRAMMATICOS, B

NIJHOFF, FW

PAPAGEORGIOU, V

RAMANI, A

SATSUMA, J

机构：

[1] CLARKSON UNIV,DEPT MATH & COMP SCI,POTSDAM,NY 13699

[2] ECOLE POLYTECH,CPT,CNRS,UPR 14,F-91128 PALAISEAU,FRANCE

[3] UNIV TOKYO,DEPT MATH SCI,MEGURO KU,TOKYO 153,JAPAN

来源：

PHYSICS LETTERS A | 1994年 / 185卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(94)91124-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present particular solutions of the discrete Painleve III (d-P(III)) equation of rational and special function (Bessel) type. These solutions allow us to establish a close parallel between this discrete equation and its continuous counterpart. Moreover, we propose an alternate form for d-P(III) and confirm its integrability by explicitly deriving its Lax pair.

引用

页码：446 / 452

页数：7

共 17 条

[1] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (06) :1011-1018

[2]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[3] EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].

BREZIN, E ;

KAZAKOV, VA .

PHYSICS LETTERS B, 1990, 236 (02) :144-150

[4]

Exton H., 1983, Q HYPERGEOMETRIC FUN

[5]

FOKAS AS, IN PRESS J MATH ANAL

[6] QUANTIZATION AND INTEGRABILITY OF DISCRETE-SYSTEMS [J].

GRAMMATICOS, B ;

RAMANI, A ;

PAPAGEORGIOU, VG ;

NIJHOFF, FW .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (23) :6419-6427

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

GRAMMATICOS, B ;

RAMANI, A ;

PAPAGEORGIOU, V .

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

[8]

GROMAK VA, 1990, ANAL SOLUTIONS PAINL

[9]

Ince E. L., 1956, ORDINARY DIFFERENTIA

[10] NONLINEAR NONAUTONOMOUS DISCRETE DYNAMIC-SYSTEMS FROM A GENERAL DISCRETE ISOMONODROMY PROBLEM [J].

JOSHI, N ;

BURTONCLAY, D ;

HALBURD, RG .

LETTERS IN MATHEMATICAL PHYSICS, 1992, 26 (02) :123-131

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