The Integrability of New Two-Component KdV Equation

Symmetry Integrability and Geometry-Methods and Applications

article

Ziemowit Popowicz¹ 

[1] Institute for Theoretical Physics, University of Wroclaw

关键词: KdV equation;    Lax representation;    integrability;    supersymmetry;   

DOI  :  10.3842/SIGMA.2010.018

来源: National Academy of Science of Ukraine

【 摘 要 】

We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev-Petviashvilli-Radul-Manin hierarchy is presented. For this new supersymmetric equation the Lax representation and odd Hamiltonian structure is given.

【 授权许可】

Unknown