Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions

DOI10.1063/1.532736zbMath0952.37035arXivsolv-int/9801021OpenAlexW3103632091MaRDI QIDQ4701897

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Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9801021

zbMATH Keywords

Toda latticeDarboux-Bäcklund solitonsManin-Radul supersymmetric Kadomtsev-Petviashvili hierarchy

Mathematics Subject Classification ID

Related Items (19)

A Note on the Appearance of Self-Dual Yang-Mills Fields in Integrable Hierarchies ⋮ Super modified KP hierarchy in Kac–van de Leur construction ⋮ Miura and Darboux transformations in the SUSY KP hierarchies ⋮ Darboux transformations of new supersymmetric CKP and BKP hierarchies ⋮ \(N = 2\) multicomponent supersymmetric KP hierarchy and additional symmetries ⋮ Symmetries of supersymmetric CKP hierarchy and its reduction ⋮ BINARY NONLINEARIZATION OF THE SUPER AKNS SYSTEM ⋮ Virasoro symmetries of multicomponent Gelfand-Dickey systems ⋮ Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation ⋮ \(SW_{1+\infty}\) symmetries of \(N = 2\) supersymmetric CKP hierarchy and its multicomponent generalization ⋮ \(N = 2\) supersymmetric BKP hierarchy with \(SW_{1+\infty}\) symmetries and its multicomponent generalization ⋮ Constraint and nonlinearization of supersymmetric equations with some special forms of Lax pairs ⋮ Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures ⋮ Darboux transformations for super-symmetric KP hierarchies ⋮ Darboux transformations of the supersymmetric constrained B and C type KP hierarchies ⋮ Supersymmetric BKP systems and their symmetries ⋮ Darboux transformations of the Supersymmetric BKP hierarchy ⋮ \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace ⋮ Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions

Cites Work

• Additional symmetries of the nonlinear Schrödinger equation
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Solving the KP hierarchy by gauge transformations
• Method of squared eigenfunction potentials in integrable hierarchies of KP type
• \(N=2\) KP and KdV hierarchies in extended superspace
• Lectures on classical \(W\)-algebras
• Constraints of the KP hierarchy and multilinear forms
• Darboux-Bäcklund solutions of \(\text{SL}(p,q)\) KP-KdV hierarchies, constrained generalized Toda lattices, and two-matrix string model
• A new dual symmetry structure of the KP hierarchy.
• Virasoro symmetry of constrained KP hierarchies
• The geometry of the super KP flows
• Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace
• SQUARED EIGENFUNCTIONS OF THE (MODIFIED) KP HIERARCHY AND SCATTERING PROBLEMS OF LOEWNER TYPE
• Tau-function formalism for supersymmetric KP hierarchies
• Dispersionful analogues of Benney's equations and N -wave systems
• N=4 super KdV hierarchy in N=4 and N=2 superspaces

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