A Matrix Lie Superalgebra and Its Applications-Reference-Cited by-同舟云学术

A Matrix Lie Superalgebra and Its Applications

Published:2013 Issue: Volume:2013 Page:1-10
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Han Jingwei¹,Yu Jing²^ORCID,He Jingsong³

Affiliation:

1. School of Information Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China

2. School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China

3. School of Science, Ningbo University, Ningbo, Zhejiang 315211, China

Abstract

A matrix Lie superalgebra is established. As its applications, multicomponent super Ablowitz-Kaup-Newell-Segur (AKNS) equations and multicomponent super Dirac equations are constructed. By making use of supertrace identity, their super-Hamiltonian structures are presented, respectively.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2013/416520.pdf

Reference29 articles.

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

2. An approach to generate superextensions of integrable systems

3. A supertrace identity and its applications to superintegrable systems

4. A novel symmetry constraint of the super cKdV system

5. Lie Algebra and Lie Super Algebra for Integrable Couplings of C-KdV Hierarchy

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1. Generalized Integrable Hierarchies of AKNS Type, Super Dirac Type and Super NLS–mKdV Type;Reports on Mathematical Physics;2018-08

2. A new integrable symplectic map by the binary nonlinearization to the super AKNS system;Journal of Geometry and Physics;2017-11