Neumann and Bargmann systems associated with an extension of the coupled KdV hierarchy
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
An eigenvalue problem with a reference function and the corresponding hierarchy of nonlinear evolution equations are proposed. The bi-Hamiltonian structure of the hierarchy is established by using the trace identity. The isospectral problem is nonlinearized as to be finite-dimensional completely integrable systems in Liouville sense under Neumann and Bargmann constraints.
Keywords
Cite
@article{arxiv.nlin/9901201,
title = {Neumann and Bargmann systems associated with an extension of the coupled KdV hierarchy},
author = {Zhimin Jiang},
journal= {arXiv preprint arXiv:nlin/9901201},
year = {2015}
}