Bilinear form and solutions of the k -constrained Kadomtsev - Petviashvili hierarchy

DOI10.1088/0266-5611/13/2/014zbMath0872.35095OpenAlexW2046347577MaRDI QIDQ4339305

Ralph Willox, Ignace Loris

Publication date: 9 June 1997

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/13/2/014

zbMATH Keywords

Hirota formbilinear formulation\(k\)-constrained Kadomtsev-Petviashvili hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (15)

Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy ⋮ The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ A new generalized constrained modified KP hierarchy ⋮ Bilinear Identities and Squared Eigenfunction Symmetries of the BC _r -KP Hierarchy ⋮ Bilinear Identities and Hirota’s Bilinear Forms for the (γ _n , σ _k )-KP Hierarchy ⋮ Bilinear identities for the constrained modified KP hierarchy ⋮ Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions ⋮ Binary Darboux–Bäcklund transformations for the Manin–Radul super KdV hierarchy ⋮ Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence ⋮ Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy ⋮ The “ghost” symmetry of the BKP hierarchy ⋮ Nonlocal integrable equations from the mKP hierarchy ⋮ KP constraints from reduced multi-component hierarchies ⋮ On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry

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