Integrals of motion for Toda systems with unequal masses
- 1 July 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (7) , 2200-2211
- https://doi.org/10.1063/1.526411
Abstract
We present new integrals of motion for the Toda lattice (chain of particles in one dimension with exponential interaction) for two special cases of boundary conditions: the free-end lattice with three non-equal-mass particles and the fixed-end lattice for two particles. In both cases, we use two distinct approaches in order to identify the integrable cases: direct search of the integral of motion and group theoretical methods. Our results are in agreement with the predictions of Painlevé analysis.Keywords
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