Combinatorial expressions of the solutions to initial value problems of the discrete and ultradiscrete Toda molecules

DOI10.1088/1751-8113/46/35/355203zbMath1287.37046arXiv1303.4173OpenAlexW1974356912MaRDI QIDQ2852214

Shuhei Kamioka, Tomoaki Takagaki

Publication date: 8 October 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4173

zbMATH Keywords

initial value problemscontinued fractionsHankel determinantsdiscrete Toda moleculeultradiscrete Toda molecule

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Continued fractions (11A55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Combinatorial dynamics (types of periodic orbits) (37E15) Ordinary lattice differential equations (34A33)

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