SDiff(2) Toda equation --- hierarchy, tau function, and symmetries

From MaRDI portal
Publication:1180729

DOI10.1007/BF01885498zbMath0741.35083arXivhep-th/9112042MaRDI QIDQ1180729

Takashi Takebe, Kanehisa Takasaki

Publication date: 27 June 1992

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

Full work available at URL: https://arxiv.org/abs/hep-th/9112042




Related Items

\(r\)-functions with quasi-dynamical spectral parameterString equations in Whitham hierarchies: τ-functions and Virasoro constraintsOn kernel formulas and dispersionless Hirota equations of the extended dispersionless BKP hierarchyDressing operator approach to Moyal algebraic deformation of selfdual gravityNonabelian KP hierarchy with Moyal algebraic coefficientsThe semi-classical limit of Davey-Stewartson hierarchyRemarks on dispersionless KP, KdV, and 2D gravityDispersionless Toda hierarchy and two-dimensional string theoryAlgebraic-geometrical methods in the theory of integrable equations and their perturbationsThe Cauchy problem for the Pavlov equationGeometric structure of the classical Lagrange-d'Alembert principle and its application to integrable nonlinear dynamical systemsThe Hamiltonian structure of the dispersionless Toda hierarchyAn \({\hbar}\)-expansion of the Toda hierarchyToda lattice hierarchy and generalized string equationsLie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d'Alembert principleGeometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. IIGeneralized string equations for double Hurwitz numbersOn the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalismFree energy of the two-matrix model/dToda tau-functionGeometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. IThe symmetry structure of the anti-self-dual Einstein hierarchySymmetries and tau function of higher dimensional dispersionless integrable hierarchiesExact solutions of integrable 2D contour dynamicsControlled Loewner-Kufarev equation embedded into the universal GrassmannianGrowth processes related to the dispersionless Lax equationsTopological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchyOn the linearization covering technique and its application to integrable nonlinear differential systemsRational reductions of the 2D-Toda hierarchy and mirror symmetryQuasi-classical limit of Toda hierarchy and \(W\)-infinity symmetriesThe geometric nature of the Flaschka transformationQuasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and FlutterConformal mappings and dispersionless Toda hierarchy. II: General string equationsKernel formula approach to the universal Whitham hierarchyClassical M. A. Buhl problem, its Pfeiffer-Sato solutions, and the classical Lagrange-d'Alembert principle for the integrable heavenly-type nonlinear equationsConformal mappings and dispersionless Toda hierarchyDispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondencesReduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operatorsDispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation\(q\)-analogue of modified KP hierarchy and its quasi-classical limitQuasiclassical limit of KP hierarchy, \(W\)-symmetries, and free fermionsIntegrable hierarchy underlying topological Landau-Ginzburg models of \(D\)-type\(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule.



Cites Work