Solutions for the vector k-constrained KP hierarchy

DOI10.1063/1.530716zbMath0817.35099OpenAlexW2017848230MaRDI QIDQ4327275

You-Jin Zhang, Yi. Cheng

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530716

zbMATH Keywords

integrable systems\(N\)-soliton solutions\(\tau\) functions

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)

Related Items (21)

Virasoro symmetry of the constrained multicomponent Kadomtsev-Petviashvili hierarchy and its integrable discretization ⋮ Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies ⋮ On Segal-Wilson's construction for the \(\tau\)-functions of the constrained KP hierarchies ⋮ The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian ⋮ General bright-dark soliton solution to \((2+1)\)-dimensional multi-component long-wave-short-wave resonance interaction system ⋮ Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ \(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation ⋮ Solving the constrained KP hierarchy by gauge transformations ⋮ On solutions of constrained Kadomtsev–Petviashvili equations: Grammians ⋮ A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy ⋮ Bilinear Identities and Hirota’s Bilinear Forms for the (γ _n , σ _k )-KP Hierarchy ⋮ On solutions of constrained KP equations ⋮ Erratum to: ``Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents ⋮ Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions ⋮ Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence ⋮ The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems ⋮ Nonlocal integrable equations from the mKP hierarchy ⋮ On Grassmannian description of the constrained KP hierarchy ⋮ On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry ⋮ Additional reductions in the \(k\)-constrained modified KP hierarchy

Cites Work

• Solitons and infinite dimensional Lie algebras
• The AKNS hierarchy as symmetry constraint of the KP hierarchy
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
• Bilinear equations for the constrained KP hierarchy

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