Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-05-09
Nonlinear Sciences
Exactly Solvable and Integrable Systems
50 pages, 12 figures, the contents of this article will be included in, and linked to, MEMPhys (Modern Encyclopedia of Mathema
Scientific paper
In 1967, Japanese physicist Morikazu Toda published the seminal papers exhibiting soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. In the decades that followed, Toda's system of particles has been generalized in different directions, each with its own analytic, geometric, and topological characteristics that sets it apart from the others. These are known collectively as the Toda lattice. This survey describes and compares several versions of the finite non-periodic Toda lattice from the perspective of their geometry and topology.
Kodama Yuji
Shipman Barbara
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