On the local fractional variable‐coefficient Ablowitz–Kaup–Newell–Segur hierarchy: Hamiltonian structure, localization of nonlocal symmetries, and exact solution of reduced equations-Reference-Cited by-同舟云学术

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On the local fractional variable‐coefficient Ablowitz–Kaup–Newell–Segur hierarchy: Hamiltonian structure, localization of nonlocal symmetries, and exact solution of reduced equations

Published:2021-12-02 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Yue Chao¹^ORCID,Wang Xiaoyan¹

Affiliation:

1. College of Medical Information Engineering Shandong First Medical University & Shandong Academy of Medical Sciences Taian China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.8020

Reference27 articles.

1. The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems

2. A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction;Ma WX;Chin J Contemp Math,1992

3. A powerful approach to generate new integrable systems

4. A Liouville integrable Hamiltonian system associated with a generalized Kaup–Newell spectral problem

5. The positive and negative Camassa–Holm-γ hierarchies, zero curvature representations, bi-Hamiltonian structures, and algebro-geometric solutions

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