Toda hierarchies and their applications

DOI10.1088/1751-8121/aabc14zbMath1406.37053arXiv1801.09924OpenAlexW2785358053WikidataQ130020386 ScholiaQ130020386MaRDI QIDQ4581247

Kanehisa Takasaki

Publication date: 16 August 2018

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

Full work available at URL: https://arxiv.org/abs/1801.09924

zbMATH Keywords

Toda latticefactorization problemquantum torusintegrable hierarchyfree fermionshift symmetrymelting crystal

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items

Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy, Integrable lattice hierarchies behind Cauchy two-matrix model and Bures ensemble, Extended lattice Gelfand–Dickey hierarchy, Reduction of the 2D Toda hierarchy and linear Hodge integrals, A new solvable two-matrix model and the BKP tau function, Liouville integrability and explicit solutions for a Frobenius‐coupled integrable lattice hierarchy, Tropical limit of matrix solitons and entwining Yang-Baxter maps, 2D Yang–Mills Theory and Tau Functions, Direct linearisation of the discrete-time two-dimensional Toda lattices, Intertwining operator and integrable hierarchies from topological strings, Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour, Quantum W1+∞ subalgebras of BCD type and symmetric polynomials, Dressing operators in equivariant Gromov–Witten theory of CP1

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