A Darboux transformation of the \(\mathrm{sl}(2| 1)\) super KdV hierarchy and a super lattice potential KdV equation
DOI10.1016/j.physleta.2014.04.052zbMath1342.37070OpenAlexW2027027541MaRDI QIDQ531203
Publication date: 3 August 2016
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2014.04.052
Darboux transformationbi-super-Hamiltonian structurelattice integrable systemsuper KdV hierarchythe lpKdV equation
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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Partial difference equations (39A14)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras
- Integrable fermionic extensions of the Garnier system and the anharmonic oscillator
- A new super-extension of the KdV hierarchy
- A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
- The theory of Lie superalgebras. An introduction
- Classification of integrable equations on quad-graphs. The consistency approach
- Bäcklund-Darboux transformations and discretizations of super KdV equation
- Nonlinear superposition formula for \(N=1\) supersymmetric KdV equation
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Supersymmetric KdV equation: Darboux transformation and discrete systems
- A finite genus solution of the H1 model
- A supertrace identity and its applications to superintegrable systems
- Supersymmetric extension of the Korteweg–de Vries equation
- INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
- Nonlinear differential difference equations as Backlund transformations
- The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I
- An approach to generate superextensions of integrable systems