The Hamiltonian Structure of Two Integrable Expanding Models

Authors

  • Bin Liu , Huanhe Dong & Zhu Li

Keywords:

Integrable coupling;Hamiltonian structure;quadratic-form identity

Abstract

In this paper, an extended loop algebra is constructed from which an isospectral problem established. It follows that the integrable couplings of the Tu hierarchy and M-AKNS-KN hierarchy are obtained, and their Hamilton structures are presented by the quadratic-form identity. Moreover, we guarantee that the expanding model we obtained are also Liouville integrable.

Published

2020-05-12

Issue

Section

Articles