Published April 1989
| Version v1
Journal article
Integrable dynamical systems with hierarchy. I. Formulation
Creators
- 1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
Description
It is shown that any model with the zero (generalized) Nijenhuis tensor, under some additional assumptions, will automatically satisfy the hierarchy equation with an infinite number of conserved quantities in involution. Especially, if there is a dual symplectic structure with zero Nijenhuis tensor, then there exist infinite numbers of Poisson brackets and of Lagrangians giving the same equation of motion. Toda lattice is one such example
Additional details
Publishing Information
- Journal Title
- Journal of Mathematical Physics (New York)
- Journal Volume
- 30
- Journal Issue
- 4
- Series
- J. Math. Phys. (N.Y.).
- Journal Page Range
- 834-843
- ISSN
- 0022-2488
- CODEN
- JMAPA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 20042843
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLASSICAL MECHANICS; CONSERVATION LAWS; EQUATIONS OF MOTION; HAMILTON-JACOBI EQUATIONS; LAGRANGIAN FUNCTION; ONE-DIMENSIONAL CALCULATIONS; POISSON EQUATION; TENSORS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS