Non-autonomous Svinolupov-Jordan KdV systems

被引：8

作者：

Gürses, M ^{[1
]}

Karasu, A

Turhan, R

机构：

[1] Bilkent Univ, Fac Sci, Dept Math, TR-06533 Ankara, Turkey

[2] Middle E Tech Univ, Fac Arts & Sci, Dept Phys, TR-06531 Ankara, Turkey

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 28期

关键词：

D O I：

10.1088/0305-4470/34/28/306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Non-autonomous Svinolupov-Jordan KdV systems are considered. The integrability criteria of such systems are associated with the existence of recursion operators. A new non-autonomous KdV system and its recursion operator is obtained for all N. The examples for N = 2 and 3 are studied in detail. Some possible transformations which map some systems to autonomous ones are also discussed.

引用

页码：5705 / 5711

页数：7

共 19 条

[1] ON NON-AUTONOMOUS KDV-FLOWS [J].

ABELLANAS, L ;

GALINDO, A .

PHYSICS LETTERS A, 1985, 108 (03) :123-125

[2] GENERALIZED KDV AND MKDV EQUATIONS ASSOCIATED WITH SYMMETRICAL-SPACES [J].

ATHORNE, C ;

FORDY, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (06) :1377-1386

[3]

Bluman G. W., 1989, Symmetries and Differential Equations

[4] SOLUTION BY SPECTRAL-TRANSFORM METHOD OF A NON-LINEAR EVOLUTION EQUATION INCLUDING AS A SPECIAL CASE CYLINDRICAL KDV EQUATION [J].

CALOGERO, F ;

DEGASPERIS, A .

LETTERE AL NUOVO CIMENTO, 1978, 23 (04) :150-154

[5] INTEGRABLE NONLINEAR EVOLUTION-EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS [J].

FUCHSSTEINER, B .

JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (11) :5140-5158

[6]

Gürses M, 1999, J MATH PHYS, V40, P6473, DOI 10.1063/1.533102

[7]

Gurses M, 1998, J MATH PHYS, V39, P2103, DOI 10.1063/1.532278

[8] Degenerate Svinolupov KdV systems [J].

Gurses, M ;

Karasu, A .

PHYSICS LETTERS A, 1996, 214 (1-2) :21-26

[9]

GURSES M, 2001, UNPUB TIME DEPENDENT

[10] EXACT SOLUTIONS TO THE EQUATION DESCRIBING CYLINDRICAL SOLITONS [J].

HIROTA, R .

PHYSICS LETTERS A, 1979, 71 (5-6) :393-394

← 1 2 →