On Birkhoff method for integrable Lagrangian systems

被引：0
|
作者：
Pucacco, G [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Fis, Ist Nazl Fis Nucl, Sez Roma 2, I-00173 Rome, Italy
来源：
SPT 2004: SYMMETRY AND PERTURBATION THEORY | 2005年
关键词：
D O I：
10.1142/9789812702142_0033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We review Birkhoff method based on conditional integrals and apply the approach to find integrable two-dimensional Lagrangian or Hamiltonian systems with scalar and vector potentials.
引用
收藏
页码：271 / 278
页数：8
相关论文
共 50 条
  • [41] On the Lagrangian Structure of Integrable Quad-Equations
    Bobenko, Alexander I.
    Suris, Yuri B.
    LETTERS IN MATHEMATICAL PHYSICS, 2010, 92 (01) : 17 - 31
  • [42] INTEGRABLE LAGRANGIAN CORRESPONDENCES AND THE FACTORIZATION OF MATRIX POLYNOMIALS
    VESELOV, AP
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1991, 25 (02) : 112 - 122
  • [43] On the Lagrangian Structure of Integrable Quad-Equations
    Alexander I. Bobenko
    Yuri B. Suris
    Letters in Mathematical Physics, 2010, 92 : 17 - 31
  • [44] Averaging method for quasi-integrable Hamiltonian systems
    Huang, ZL
    Zhu, WQ
    JOURNAL OF SOUND AND VIBRATION, 2005, 284 (1-2) : 325 - 341
  • [45] Matrix factorization method for the Hamiltonian structure of integrable systems
    Ghosh, S
    Talukdar, B
    Chakraborti, S
    PRAMANA-JOURNAL OF PHYSICS, 2003, 61 (01): : 161 - 165
  • [46] Applications of the R-Matrix Method in Integrable Systems
    Feng, Binlu
    Zhang, Yufeng
    Zhang, Hongyi
    SYMMETRY-BASEL, 2023, 15 (09):
  • [47] A general method for constructing vector integrable lattice systems
    Zhou, Ruguang
    Li, Na
    Zhu, Jinyan
    PHYSICS LETTERS A, 2019, 383 (08) : 697 - 702
  • [48] Complex Maslov method applied to integrable Hamiltonian systems
    Brihaye, Y
    Giller, S
    Gonera, C
    Kosinski, P
    GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2, 1997, : 411 - 415
  • [49] On reduction in systems integrable by method of inverse problem dispersion
    Zakharov, VE
    Manakov, SV
    DOKLADY AKADEMII NAUK, 1998, 360 (03) : 324 - 327
  • [50] Matrix factorization method for the Hamiltonian structure of integrable systems
    S. Ghosh
    B. Talukdar
    S. Chakraborti
    Pramana, 2003, 61 : 161 - 165
12345