The Integrability of New Two-Component KdV Equation

Abstract

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.

References in corpus (2)

• A supersymmetric Sawada-Kotera equation
• Odd Hamiltonian Structure for Supersymmetric Sawada - Kotera Equation

Cited by in corpus (1)

• Third Order Integrable Equation Possessing Symplectic Operator Of Degree 9