Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies-Reference-Cited by-同舟云学术

Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies

Published:2023-04-10 Issue:8 Volume:11 Page:1794
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Chen Shou-Ting¹,Ma Wen-Xiu²³⁴⁵^ORCID

Affiliation:

1. School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221008, China

2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

4. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

5. School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa

Abstract

Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to establish their Hamiltonian structures. Illuminating examples of coupled nonlinear Schrödinger equations and coupled modified Korteweg–de Vries equations are worked out.

Funder

“Qing Lan Project” of Jiangsu Province

NSFC

Ministry of Science and Technology of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/8/1794/pdf

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