The geometry of the Hermitian matrix model and lattices for the NLS and dNLS hierarchies

DOI10.1016/0393-0440(94)00037-5zbMath0833.35131OpenAlexW2052053732MaRDI QIDQ1900126

Manuel Mañas

Publication date: 20 November 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)00037-5

zbMATH Keywords

Sato GrassmannianVolterra chainauto-Bäcklund transformationsgeometry of matrix model for NLSheat hierarchynonlinear Schrödinger- Volterra system hierarchynonlinear Schrödinger-Toda system hiearchySato-periodic flag manifold

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantization of the gravitational field (83C45) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

The Hermitian matrix model and homogeneous spaces ⋮ Virasoro symmetry of constrained KP hierarchies

Cites Work

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• What is a classical r-matrix?
• The homogeneous Heisenberg subalgebra and equations of AKNS type
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Nonlinear Schrödinger equations and simple Lie algebras
• Loop groups and equations of KdV type
• The solution space of the unitary matrix model string equation and the Sato Grassmannian
• Intersection theory on the moduli space of curves and the matrix Airy function
• String equations for the unitary matrix model and the periodic flag manifold
• The Hermitian matrix model and homogeneous spaces
• On two-current realization of KP hierarchy
• Multi-matrix models without continuum limit
• Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation
• Prolongation structures of complex quasi-polynomial evolution equations
• Infinite-dimensional Lie groups and algebraic geometry in soliton theory
• On the τ-function of matrix hierarchies of integrable equations
• An exact solution for a derivative nonlinear Schrödinger equation
• String equations for the KdV hierarchy and the Grassmannian
• Nonperturbative two-dimensional quantum gravity
• AKNS hierarchy, self-similarity, string equations and the Grassmannian

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