On the formulation of a Bäcklund Wahlquist-Estabrook transformation for a supersymmetric Korteweg-de Vries equation

Alvaro Restuccia, Adrián Sotomayor
2016 Journal of Physics, Conference Series  
We present a local Bäcklund Wahlquist-Estabrook (WE) transformation for a supersymmetric Korteweg-de Vries (KdV) equation. As in the scalar case, such type of transformation generates infinite hierarchies of solutions and also implicitly gives the associated (local) conserved quantities. A nice property is that every of such hierarchies admits a nonlinear superposition principle, starting for an initial solution, including as a particular case the multisolitonic solutions of the system. We
more » ... ss the symmetries of the system and we present in an explicit way its local conserved quantities with the help of the associated Gardner transformation.
doi:10.1088/1742-6596/738/1/012039 fatcat:627nyxeuobbh7cqhcy6xkvjtwu