Lagrangian Reductions and Integrable Systems in Condensed Matter

被引：6
|
作者：
Gay-Balmaz, Francois [1 ]
Monastyrsky, Michael [2 ]
Ratiu, Tudor S. [3 ,4 ]
机构：
[1] Ecole Normale Super, CNRS, Meteorol Dynam Lab, Paris, France
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
[3] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
[4] Ecole Polytech Fed Lausanne, Bernoulli Ctr, CH-1015 Lausanne, Switzerland
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 335卷 / 02期
基金：
瑞士国家科学基金会;
关键词：
SUPERFLUID HE-3; SEMIDIRECT PRODUCTS; POINCARE EQUATIONS; PHASES;
D O I：
10.1007/s00220-015-2317-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a general approach for the process of Lagrangian and Hamiltonian reduction by symmetries in chiral gauge models. This approach is used to show the complete integrability of several one dimensional texture equations arising in liquid Helium phases and neutron stars.
引用
收藏
页码：609 / 636
页数：28
相关论文
共 50 条
  • [1] Lagrangian Reductions and Integrable Systems in Condensed Matter
    François Gay-Balmaz
    Michael Monastyrsky
    Tudor S. Ratiu
    Communications in Mathematical Physics, 2015, 335 : 609 - 636
  • [2] A SIMPLE LAGRANGIAN FOR INTEGRABLE SYSTEMS
    DASILVA, MAD
    DAS, A
    JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (04) : 798 - 800
  • [3] On Birkhoff method for integrable Lagrangian systems
    Pucacco, G
    SPT 2004: SYMMETRY AND PERTURBATION THEORY, 2005, : 271 - 278
  • [4] On a Lagrangian Reduction and a Deformation of Completely Integrable Systems
    Alexis Arnaudon
    Journal of Nonlinear Science, 2016, 26 : 1133 - 1160
  • [5] On a Lagrangian Reduction and a Deformation of Completely Integrable Systems
    Arnaudon, Alexis
    JOURNAL OF NONLINEAR SCIENCE, 2016, 26 (05) : 1133 - 1160
  • [6] Quasiparticles in condensed matter systems
    Woelfle, Peter
    REPORTS ON PROGRESS IN PHYSICS, 2018, 81 (03)
  • [7] A unisonant τ-matrix structure of integrable systems and its reductions
    Qiao, ZJ
    Strampp, W
    CHINESE PHYSICS LETTERS, 2000, 17 (04) : 235 - 237
  • [8] HARMONIC ANALYSIS ON LAGRANGIAN MANIFOLDS OF INTEGRABLE HAMILTONIAN SYSTEMS
    Bernatska, Julia
    Holod, Petro
    PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION, 2013, : 61 - 73
  • [9] The topology of Lagrangian foliations of integrable systems with hyperelliptic Hamiltonian
    Kudryavtseva, E. A.
    Lepskii, T. A.
    SBORNIK MATHEMATICS, 2011, 202 (03) : 373 - 411
  • [10] SYMMETRY AND REDUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS: PEAKON AND THE TODA CHAIN SYSTEMS
    Gerdjikov, Vladimir S.
    Ivanov, Rossen I.
    Vilasi, Gaetano
    ROMANIAN ASTRONOMICAL JOURNAL, 2014, 24 (01): : 37 - 47
12345