Fractional Volterra hierarchy

DOI10.1007/S11005-017-1006-3zbMath1410.37061arXiv1702.02840OpenAlexW2612245062MaRDI QIDQ1696026

Si-Qi Liu, You-Jin Zhang, Chun Hui Zhou

Publication date: 14 February 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02840

zbMATH Keywords

Hamiltonian structureDarboux transformationHodge integralVolterra hierarchytau structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (6)

Some invariant solutions and conservation laws of a type of long-water wave system ⋮ The loop equation for special cubic Hodge integrals ⋮ Reduction of the 2D Toda hierarchy and linear Hodge integrals ⋮ Hodge-GUE correspondence and the discrete KdV equation ⋮ The Hodge-FVH correspondence ⋮ Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry

Uses Software

• MathOverflow

Cites Work

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