标题： 新两组分KdV方程的可积性 显示英文标题

标题： The Integrability of New Two-Component KdV Equation

摘要： 我们考虑Drinfel'd和Sokolov发现的两组分耦合KdV方程的双哈密顿表示，该方程由Sakovich和Foursov重新发现。展示了该方程与超对称Kadomtsev-Petviashvilli-Radul-Manin层次结构的联系。对于这个新的超对称方程，给出了Lax表示和奇数哈密顿结构。 显示英文摘要

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.