On the formulation of a B?cklund Wahlquist-Estabrook transformation for a supersymmetric Korteweg-de Vries equation

[摘要] 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 discuss the symmetries of the system and we present in an explicit way its local conserved quantities with the help of the associated Gardner transformation.

[发布机构] Physics Department, Antofagasta University, Chile^1;Department of Mathematics, Antofagasta University, Chile^2

[效力级别] 数学

[关键词] Conserved quantity;Initial solution;Korteweg-de Vries;Nonlinear superposition