Integrable quasiclassical deformations of algebraic curves

被引：13

作者：

Konopelchenko, B ^{[1
]}

Alonso, LM

机构：

[1] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy

[2] Ist Nazl Fis Nucl, Sez Lecce, I-73100 Lecce, Italy

[3] Univ Complutense Madrid, Dept Fis Teor 2, E-28040 Madrid, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 32期

关键词：

D O I：

10.1088/0305-4470/37/32/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. The method is illustrated with the analysis of the hyperelliptic case. An associated multi-Hamiltonian hierarchy of systems of hydrodynamic type is characterized.

引用

页码：7859 / 7877

页数：19

共 41 条

[1] ABHYANKAR SS, 1990, ALGEBRAIC GEOMETRY S, V35
[2] [Anonymous], 1982, INTRO ALGEBRA
[3] [Anonymous], FUNKTS ANAL PRILOZH, DOI 0.1007/BF01086549
[4] Belokolos ED., 1994, Springer series in nonlinear dynamics
[5] HAMILTONIAN-FORMALISM OF WHITHAM-TYPE HIERARCHIES AND TOPOLOGICAL LANDAU-GINSBURG MODELS
DUBROVIN, BA
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 145 (01) : 195 - 207
[6] DUBROVIN BA, 1989, RUSS MATH SURV+, V44, P29
[7] The Hamiltonian structure of the dispersionless Toda hierarchy
Fairlie, DB
Strachan, IAB
[J]. PHYSICA D, 1996, 90 (1-2): : 1 - 8
[8] Farkas H. M., 1980, RIEMANN SURFACES, DOI [10.1007/978-1-4612-2034-3, DOI 10.1007/978-1-4612-2034-3]
[9] QUASI-CLASSICAL LIMIT OF COUPLED KDV EQUATIONS - RIEMANN INVARIANTS AND MULTI-HAMILTONIAN STRUCTURE
FERAPONTOV, EV
PAVLOV, MV
[J]. PHYSICA D, 1991, 52 (2-3): : 211 - 219
[10] MULTIPHASE AVERAGING AND THE INVERSE SPECTRAL SOLUTION OF THE KORTEWEG-DEVRIES EQUATION
FLASCHKA, H
FOREST, MG
MCLAUGHLIN, DW
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) : 739 - 784

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