Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation

Symmetry Integrability and Geometry-Methods and Applications

article

Ling-Ling Xue¹  Qing Ping Liu¹ 

[1] Department of Mathematics, China University of Mining and Technology

关键词: super integrable systems;    KdV;    B¨acklund–Darboux transformations;    discrete integrable systems;   

DOI  :  10.3842/SIGMA.2014.045

来源: National Academy of Science of Ukraine

【 摘 要 】

For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations. The reduction of one of the Bäcklund-Darboux transformations and the corresponding discrete system are considered for Kupershmidt's super KdV equation. When all the odd variables vanish, a nonlinear superposition formula is obtained for Levi's Bäcklund transformation for the KdV equation.

【 授权许可】

Unknown