Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation

Authors

Mengxia Zhang
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow
Jiawen Liu

Document Type

Article

Publication Date

1-2021

Abstract

The tri-Hamiltonian method is applied to the Merola-Ragnisco-Tu equation. This enables us to construct a new integrable system, whose continuum limit is related to the AKNS system. Moreover, the system is proved to have linear spectral problems (Lax pair), bi-Hamiltonian structure and Darboux-Bäcklund transformation. Through the Darboux-Bäcklund transformation, we construct some exact solutions for the system.

Comments

Original published version available at https://doi.org/10.1016/j.physleta.2020.126966

Recommended Citation

Zhang, Mengxia, Bao-Feng Feng, and Jiawen Liu. "Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation." Physics Letters A 385 (2021): 126966. https://doi.org/10.1016/j.physleta.2020.126966

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Physics Letters A

DOI

10.1016/j.physleta.2020.126966