Higher dimensional generalizations of the Euler top equations

Oct, 1997
8 pages
Published in:
  • Phys.Lett.A 240 (1998) 132
e-Print:
Report number:
  • YITP-97-48,
  • DTP-97-53

Citations per year

199820042010201620223120
Abstract:
Generalisations of the familiar Euler top equations in three dimensions are proposed which admit a sufficiently large number of conservation laws to permit integrability by quadratures. The usual top is a classical analogue of the Nahm equations. One of the examples discussed here is a seven-dimensional Euler top, which arises as a classical counterpart to the eight-dimensional self-dual equations which are currently believed to play a role in new developments in string theory.
  • Euler equation: higher-dimensional
  • differential equations: solution
  • conservation law