On Dispersionless BKP Hierarchy and its Reductions

DOI10.2991/jnmp.2005.12.s1.6zbMath1362.37123arXivnlin/0411046OpenAlexW3098552066MaRDI QIDQ5346916

L. V. Bogdanov, B. G. Konopelchenko

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0411046

Mathematics Subject Classification ID

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

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Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries ⋮ On kernel formulas and dispersionless Hirota equations of the extended dispersionless BKP hierarchy ⋮ The semi-classical limit of Davey-Stewartson hierarchy ⋮ Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\) ⋮ Löwner equations and reductions of dispersionless hierarchies ⋮ Lax pair for a novel two-dimensional lattice ⋮ On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras ⋮ A new extended dispersionless mKP hierarchy and hodograph solution ⋮ Lie symmetry analysis and conservation laws for the \((2 + 1)\)-dimensional dispersionless B-type Kadomtsev-Petviashvili equation ⋮ Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy ⋮ SECOND-ORDER QUASILINEAR PDEs AND CONFORMAL STRUCTURES IN PROJECTIVE SPACE ⋮ Solutions of the real dispersionless Veselov-Novikov hierarchy ⋮ A note on reductions of the dispersionless Toda hierarchy ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

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