Integrable deformations of algebraic curves

被引:4
作者
Kodama, Y
Konopelchenko, BG
Alonso, LM
机构
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
[2] Univ Lecce, Dipartimento Fis, Ist Nazl Fis Nucl, Sez Lecce, I-73100 Lecce, Italy
[3] Univ Complutense, Dept Fis Teor 2, E-28040 Madrid, Spain
关键词
algebraic curves; integrable systems; Lenard relations;
D O I
10.1007/s11232-005-0123-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations. We emphasize the use of several types of dynamical variables: branches, power sums, and potentials.
引用
收藏
页码:961 / 967
页数:7
相关论文
共 16 条
  • [1] ABHYANKAR SS, 1990, MATH SURVEYS MONOGRA, V35
  • [2] ABLOWITZ MJ, 2003, NONLINEAR PHYS THEOR, V2, P234
  • [3] [Anonymous], 1978, ALGEBRAIC CURVES
  • [4] Belokolos ED., 1994, Springer series in nonlinear dynamics
  • [5] Dubrovin B. A., 1989, RUSS MATH SURV, V44, P35, DOI 10.1070/RM1989v044n06ABEH002300
  • [6] DUBROVIN BA, 1992, COMMUN MATH PHYS, V145, P415
  • [7] 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
  • [8] Singular sector of the Burgers-Hopf hierarchy and deformations of hyperelliptic curves
    Kodama, Y
    Konopelchenko, BG
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (31): : L489 - L500
  • [9] Integrable quasiclassical deformations of algebraic curves
    Konopelchenko, B
    Alonso, LM
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (32): : 7859 - 7877
  • [10] KRICHEVER IM, 1988, FUNCT ANAL APPL+, V22, P200