On solutions of constrained KP equations

DOI10.1063/1.531843zbMath0869.35084OpenAlexW2022608958MaRDI QIDQ2785749

Ignace Loris, Ralph Willox

Publication date: 25 February 1997

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

Full work available at URL: https://doi.org/10.1063/1.531843

zbMATH Keywords

rational solutionsconstrained KP hierarchiesexistence of Wronskian solutions

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 (5)

Virasoro symmetry of constrained KP hierarchies ⋮ General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions ⋮ Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions ⋮ The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ KP constraints from reduced multi-component hierarchies

Cites Work

• Solitons and infinite dimensional Lie algebras
• Wronskian determinants, the KP hierarchy and supersymmetric polynomials
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Solutions for the vector k-constrained KP hierarchy
• Wronskian solutions of the constrained Kadomtsev–Petviashvili hierarchy

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