A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure

Authors

Yuqin Yao, China Agricultural University
Shoufeng Shen, Zhejiang University of Technology
Wen-Xiu Ma, University of South FloridaFollow

Document Type

Article

Publication Date

2016

Digital Object Identifier (DOI)

https://doi.org/10.1155/2016/3589704

Abstract

Associated with s͠o(3,R) , a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.

Rights Information

This work is licensed under a Creative Commons Attribution 4.0 License.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Advances in Mathematical Physics, v. 2016, art. 3589704

Scholar Commons Citation

Yao, Yuqin; Shen, Shoufeng; and Ma, Wen-Xiu, "A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure" (2016). Mathematics and Statistics Faculty Publications. 12.
https://digitalcommons.usf.edu/mth_facpub/12