Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation.
- Resource Type
- Article
- Authors
- Jia, Yangjie; Wang, Shen; Maduojie, Ban
- Source
- Journal of Mathematical Physics. Jun2023, Vol. 64 Issue 6, p1-11. 11p.
- Subject
- *NONLINEAR equations
*NONLINEAR Schrodinger equation
*HUBBARD model
*HEISENBERG model
- Language
- ISSN
- 0022-2488
The Heisenberg supermagnet model is a supersymmetric system and has a close relationship with the strong electron-correlated Hubbard model. In this paper, the supersymmetric prolongation structure is used to analyze the high order supersymmetric nonlinear equation. The Lax representation is constructed for the prolongation algebra of this equation. The B a ̈ c k l u n d transformation of the supersymmetric nonlinear Schrödinger equation is obtained by simplified calculation. [ABSTRACT FROM AUTHOR]