On a class of coupled Hamiltonian operators and their integrable hierarchies with two potentials-Reference-Cited by-同舟云学术

On a class of coupled Hamiltonian operators and their integrable hierarchies with two potentials

Published:2018-04-23 Issue:10 Volume:41 Page:3779-3789
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Gu Xiang¹^ORCID,Ma Wen-Xiu¹²³^ORCID

Affiliation:

1. Department of Mathematics and Statistics; University of South Florida; Tampa FL 33620-5700 USA

2. College of Mathematics and Systems Science; Shandong University of Science and Technology; Qingdao 266590 Shandong PR China

3. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences; North-West University, Mafikeng Campus; Private Bag X2046, Mmabatho 2735 South Africa

Funder

National Science Foundation

National Natural Science Foundation of China

111 Project of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference21 articles.

1. A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems;Xu;Phys Lett A,2002

2. On a generalization of AKNS hierarchy and related tri-Hamiltonian duality;Zhang;Commun Appl Math Comput,2015

3. A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction;Ma;Chinese Ann Math Ser A,1992

4. On the structure of symplectic operators and hereditary symmetries;Fokas;Lett Nuovo Cimento,1980

5. Bäcklund transformations for hereditary symmetries;Fokas;Nonlinear Anal TMA,1981

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