NOVEL INTEGRABLE HAMILTONIAN HIERARCHIES WITH SIX POTENTIALS

  • Wenxiu MA
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  • 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
    2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA;
    4. Material Science Innovation and Modelling, Department of Mathematical Sciences;
    5. North-West University, Mafikeng Campus, Mmabatho 2735, South Africa
Wenxiu MA, E-mail: mawx@cas.usf.edu

Received date: 2024-04-18

  Online published: 2024-12-06

Supported by

NSFC (12271488, 11975145, 11972291), the Ministry of Science and Technology of China (G2021016032L, G2023016011L) and the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020).

Abstract

This paper aims to construct six-component integrable hierarchies from a kind of matrix spectral problems within the zero curvature formulation. Their Hamiltonian formulations are furnished by the trace identity, which guarantee the commuting property of infinitely many symmetries and conserved Hamiltonian functionals. Illustrative examples of the resulting integrable equations of second and third orders are explicitly computed.

Cite this article

Wenxiu MA . NOVEL INTEGRABLE HAMILTONIAN HIERARCHIES WITH SIX POTENTIALS[J]. Acta mathematica scientia, Series B, 2024 , 44(6) : 2498 -2508 . DOI: 10.1007/s10473-024-0624-y

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