One kind of integrable coupled system and its bi-Hamiltonian structures on time scale

CHENG Rumeng; DONG Huanhe

doi:10.3969/j.issn.1001-5337.2025.3.052

Journal of Qufu Normal University, Volume. 51, Issue 3, 52(2025)

One kind of integrable coupled system and its bi-Hamiltonian structures on time scale

CHENG Rumeng and DONG Huanhe^*

College of Mathematics and Systems Science, Shandong University of Science and Technology, 266590, Qingdao, Shandong, PRC

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In this paper，by constructing Lax operator and using R-matrix on time scale，AKNS integrable coupled system based on time scale is established，and its bi-Hamiltonian structure is obtained success-fully by constructing Poisson tensor with recursive estimator. The classical AKNS integrable coupled system and its Hamiltonian structure are obtained by selecting a special time scale.

Keywords

AKNS equation bi-Hamiltonian structure R-matrix time-space scale

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CHENG Rumeng, DONG Huanhe. One kind of integrable coupled system and its bi-Hamiltonian structures on time scale[J]. Journal of Qufu Normal University, 2025, 51(3): 52

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Paper Information

Received: Nov. 11, 2023

Accepted: Aug. 25, 2025

Published Online: Aug. 25, 2025

The Author Email: DONG Huanhe (donghuanhe@126.com)

DOI:10.3969/j.issn.1001-5337.2025.3.052

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