SDIFF(2) KP HIERARCHY

DOI10.1142/S0217751X92004099zbMath0925.35145arXivhep-th/9112046OpenAlexW3098222369MaRDI QIDQ4223557

Takashi Takebe, Kanehisa Takasaki

Publication date: 4 August 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9112046

Mathematics Subject Classification ID

Related Items (40)

Bäcklund transformation and soliton solutions for the coupled dispersionless equations ⋮ String equations in Whitham hierarchies: τ-functions and Virasoro constraints ⋮ On kernel formulas and dispersionless Hirota equations of the extended dispersionless BKP hierarchy ⋮ Dressing operator approach to Moyal algebraic deformation of selfdual gravity ⋮ Nonabelian KP hierarchy with Moyal algebraic coefficients ⋮ The semi-classical limit of Davey-Stewartson hierarchy ⋮ Remarks on dispersionless KP, KdV, and 2D gravity ⋮ Dispersionless Toda hierarchy and two-dimensional string theory ⋮ An \(\hbar\)-dependent formulation of the Kadomtsev-Petviashvili hierarchy ⋮ The Cauchy problem for the Pavlov equation ⋮ Nonlinear Beltrami equation and \(\tau \)-function for dispersionless hierarchies ⋮ Integrability properties of the dispersionless Kadomtsev-Petviashvili hierarchy ⋮ On relations between vertex operators, quasiclassical operators, and phase space coordinates ⋮ Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical ∂̄-dressing method ⋮ Additional symmetries and solutions of the dispersionless KP hierarchy ⋮ Landau-Ginzburg topological theories in the framework of GKM and equivalent hierarchies ⋮ Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type ⋮ On the dispersionless Davey–Stewartson hierarchy: Zakharov–Shabat equations, twistor structure, and Lax–Sato formalism ⋮ Free energy of the two-matrix model/dToda tau-function ⋮ Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy ⋮ A new extended dispersionless mKP hierarchy and hodograph solution ⋮ Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations ⋮ Symmetries and tau function of higher dimensional dispersionless integrable hierarchies ⋮ Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian ⋮ Dispersionless integrable equations as coisotropic deformations: extensions and reductions ⋮ Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ On the dispersionless Dym hierarchy of hydrodynamic type: two approaches ⋮ Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev–Petviashvili hierarchy ⋮ Additional symmetries of the dispersionless cKP hierarchy ⋮ A geometry for multidimensional integrable systems ⋮ Volume Preserving Multidimensional Integrable Systems and NambuPoisson Geometry ⋮ Coisotropic deformations of associative algebras and dispersionless integrable hierarchies ⋮ Kernel formula approach to the universal Whitham hierarchy ⋮ New extension of dispersionless Harry Dym hierarchy ⋮ Topological strings with scaling violation and Toda lattice hierarchy ⋮ Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences ⋮ The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources ⋮ Higher dimensional classical \(W\)-algebras ⋮ Hierarchies of Manakov-Santini type by means of Rota-Baxter and other identities ⋮ On universality of homogeneous Euler equation

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