The Integrability of New Two-Component KdV Equation
Exactly Solvable and Integrable Systems
2010-02-12 v3
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.
Cite
@article{arxiv.0910.2389,
title = {The Integrability of New Two-Component KdV Equation},
author = {Ziemowit Popowicz},
journal= {arXiv preprint arXiv:0910.2389},
year = {2010}
}