Tau-function formalism for supersymmetric KP hierarchies

DOI10.1063/1.530927zbMath0845.35120OpenAlexW2049111767MaRDI QIDQ4873362

Elena Medina Reus, Luis Martínez-Alonso

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530927

zbMATH Keywords

wave functionsSato equationsgenerating solitonsupersymmetric KP hierarchiestau-function formalism

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (4)

Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos ⋮ (2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model ⋮ Integrable higher order deformations of Heisenberg supermagnetic model ⋮ Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions

Cites Work

• Strings in less than one dimension and the generalized KdV hierarchies
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• The D-bar approach to inverse scattering and nonlinear evolutions
• Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy
• The geometry of the super KP flows
• NON-PERTURBATIVE SOLUTION OF THE SUPER-VIRASORO CONSTRAINTS
• DOUBLE SCALING LIMIT OF THE SUPER-VIRASORO CONSTRAINTS
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• delta equations in the theory of integrable systems
• SUPERLOOP EQUATIONS AND TWO-DIMENSIONAL SUPERGRAVITY

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