Group invariant solutions for the N=2 super Korteweg–de Vries equation

DOI10.1063/1.532842zbMath0946.35084OpenAlexW1966637226MaRDI QIDQ4701828

Véronique Hussin, M. A. Ayari, Pavel Winternitz

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532842

zbMATH Keywords

exact solutionssolitonLie superalgebrasymmetry reductionsupersymmetric Korteweg-de Vries equation

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Soliton and similarity solutions of \({\mathcal N=2,4}\) supersymmetric equations ⋮ A novel Hirota bilinear approach to N = 2 supersymmetric equations ⋮ Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation ⋮ A N = 2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation ⋮ Invariant interaction solutions for a supersymmetric mKdV equation ⋮ N = 2 supersymmetric extension of a hydrodynamic system in Riemann invariants ⋮ Hirota's virtual multisoliton solutions of \(N=2\) supersymmetric Korteweg-de Vries equations ⋮ Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions

Cites Work

• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• GLie: A MAPLE program for Lie supersymmetries of Grassmann-valued differential equations
• Computation of Lie supersymmetries for the supersymmetric two bosons equations
• Graded differential equations and their deformations: A computational theory for recursion operators
• Bosons and fermions interacting integrably with the Korteweg-de Vries field
• Classes of exactly solvable nonlinear evolution equations for Grassmann variables: The normal form method
• Superspace first-order partial differential equations through the Cartan–Kähler integration theorem
• Supersymmetric extension of the Korteweg–de Vries equation
• Grassmann-valued fluid dynamics
• A new N=2 supersymmetric Korteweg–de Vries equation
• Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings
• Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos

This page was built for publication: Group invariant solutions for the N=2 super Korteweg–de Vries equation