KdV equation as an Euler-Poincare equation

被引:0
|
作者
Fung, MK [1 ]
机构
[1] Natl Taiwan Normal Univ, Dept Phys, Taipei 117, Taiwan
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Poincare had generalised the Euler equation to any Lie algebra. We apply the same method to the infinite dimensional Virasoro algebra to obtain the KdV equation. We have discussed in a quite self-contained way the symmetries of the KdV equation and the Virasoro algebra and their interconnection.
引用
收藏
页码:789 / 796
页数:8
相关论文
共 50 条
  • [31] An Euler-Poincare bound for equicharacteristic etale sheaves
    Miller, Carl A.
    ALGEBRA & NUMBER THEORY, 2010, 4 (01) : 21 - 45
  • [32] Asymptotic stabilization of Euler-Poincare mechanical systems
    Bloch, AM
    Chang, DE
    Leonard, NE
    Marsden, JE
    Woolsey, C
    LAGRANGIAN AND HAMILTONIAN METHODS FOR NONLINEAR CONTROL, 2000, : 51 - 56
  • [33] Computing the Euler-Poincare characteristics of sign conditions
    Basu, S
    Pollack, R
    Roy, MF
    COMPUTATIONAL COMPLEXITY, 2005, 14 (01) : 53 - 71
  • [34] 93.11 Alternating signs in the Euler-Poincare formula
    Jung, Iyoung Michelle
    Kim, Sung Soo
    MATHEMATICAL GAZETTE, 2009, 93 (526): : 109 - +
  • [35] Euler-Poincare characteristics of classes of disordered media
    Arns, CH
    Knackstedt, MA
    Pinczewski, WV
    Mecke, KR
    PHYSICAL REVIEW E, 2001, 63 (03): : 311121 - 3111213
  • [36] The Euler-Poincare equations and double bracket dissipation
    Bloch, A
    Krishnaprasad, PS
    Marsden, JE
    Ratiu, TS
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 175 (01) : 1 - 42
  • [37] EULER-POINCARE FORMULATION OF HYBRID PLASMA MODELS
    Holm, Darryl D.
    Tronci, Cesare
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (01) : 191 - 222
  • [38] Euler-Poincare dynamics of perfect complex fluids
    Holm, DD
    GEOMETRY, MECHANICS AND DYNAMICS: VOLUME IN HONOR OF THE 60TH BIRTHDAY OF J. E. MARSDEN, 2002, : 113 - 167
  • [39] Equivariant Euler-Poincare characteristic in sheaf cohomology
    Kionke, Steffen
    Rohlfs, Juergen
    MANUSCRIPTA MATHEMATICA, 2016, 149 (3-4) : 283 - 295
  • [40] Euler-Poincare flows on sln opers and integrability
    Guha, Partha
    ACTA APPLICANDAE MATHEMATICAE, 2007, 95 (01) : 1 - 30