A Class of Coupled KdV systems and Their Bi-Hamiltonian Formulations
solv-int
2009-10-31 v2 Exactly Solvable and Integrable Systems
Abstract
A Hamiltonian pair with arbitrary constants is proposed and thus a sort of hereditary operators is resulted. All the corresponding systems of evolution equations possess local bi-Hamiltonian formulation and a special choice of the systems leads to the KdV hierarchy. Illustrative examples are given.
Keywords
Cite
@article{arxiv.solv-int/9803009,
title = {A Class of Coupled KdV systems and Their Bi-Hamiltonian Formulations},
author = {Wen-Xiu Ma},
journal= {arXiv preprint arXiv:solv-int/9803009},
year = {2009}
}
Comments
8 pages, latex