Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy

DOI10.1007/BF01218468zbMath0685.35096OpenAlexW2046649955MaRDI QIDQ1826043

Kaoru Ikeda, Kimio Uneo, Hiro-Fumi Yamada

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01218468

zbMATH Keywords

residue formulaeKadomtsev-Petviashvili hierarchySoliton solutions

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (17)

Super modified KP hierarchy in Kac–van de Leur construction ⋮ Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos ⋮ Miura and Darboux transformations in the SUSY KP hierarchies ⋮ Super Hirota bilinear equations for the super modified BKP hierarchy ⋮ The geometry of the super KP flows ⋮ On the super-KP hierarchy ⋮ Bilinear approach to Kuperschmidt super-KdV type equations ⋮ Multi-component super integrable Hamiltonian hierarchies ⋮ Tau-function formalism for supersymmetric KP hierarchies ⋮ Symmetries of the super KP hierarchy ⋮ The Riemann–Liouville integral and continuous KP hierarchy ⋮ Supercurves, their Jacobians, and super KP equations ⋮ The Fock representation of osp(∞‖∞) and the orthogonal symplectic super KP hierarchy ⋮ A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws ⋮ The super-Toda lattice hierarchy ⋮ Noncommutative deformation of the Kadomtsev-Petviashvili hierarchy ⋮ Two-reduction of the super-KP hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• Super boson-fermion correspondence
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Super Grassmann hierarchies -- A multicomponent theory
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• A note on super Fock space
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• A supersymmetric extension of the Toda lattice hierarchy

This page was built for publication: Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy