General rational reductions of the KP hierarchy and their symmetries

DOI10.1007/BF01080005zbMath0868.35103MaRDI QIDQ1910980

I. M. Krichever

Publication date: 21 August 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

flowssoliton equationsKP hierarchyKadomtsev-Petviashvili equationLax equationspseudo-differential equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (15)

Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy ⋮ The geometry of dented pentagram maps ⋮ The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian ⋮ Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\) ⋮ Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ The ``ghost symmetry in the CKP hierarchy ⋮ Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies ⋮ The Hamburger power moment problem as part of spectral theory of canonical systems ⋮ Central invariants of the constrained KP hierarchies ⋮ Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation ⋮ Algebraic-geometric solutions of the Krichever-Novikov equation ⋮ Associativity equations in dispersionless integrable hierarchies ⋮ Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy ⋮ On Grassmannian description of the constrained KP hierarchy ⋮ Geometric Bäcklund-Darboux transformations for the KP hierarchy

Cites Work

• Theory of non-commutative polynomials
• FROM GENERAL ZAKHAROV-SHABAT EQUATIONS TO THE KP AND THE TODA LATTICE HIERARCHIES
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
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