Some 2+1 dimensional super-integrable systems

Yufeng Zhang; Hon Wah TAM; Jianqin Mei

doi:10.1515/zna-2015-0213

Some 2+1 dimensional super-integrable systems

Yufeng Zhang^*, Hon Wah TAM, Jianqin Mei

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

3 Citations (Scopus)

Abstract

In the article, we make use of the binormial-residue- representation (BRR) to generate super 2+1 dimensional integrable systems. Using these systems, we can deduce a super 2+1 dimensional AKNS hierarchy, which can be reduced to a super 2+1 dimensional nonlinear Schrodinger equation. In particular, two main results are obtained. One of them is a set of super 2+1 dimensional integrable couplings. The other one is a 2+1 dimensional diffusion equation. The Hamiltonian structure of the super 2+1 dimensional hierarchy is derived by using the super-trace identity.

Original language	English
Pages (from-to)	791-796
Number of pages	6
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	70
Issue number	10
DOIs	https://doi.org/10.1515/zna-2015-0213
Publication status	Published - 2015

Scopus Subject Areas

Mathematical Physics
Physics and Astronomy(all)
Physical and Theoretical Chemistry

User-Defined Keywords

Hamiltonian Structure
Super 2+1 Dimensional Equation
Super Lie Algebra

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10.1515/zna-2015-0213

Cite this

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title = "Some 2+1 dimensional super-integrable systems",

abstract = "In the article, we make use of the binormial-residue- representation (BRR) to generate super 2+1 dimensional integrable systems. Using these systems, we can deduce a super 2+1 dimensional AKNS hierarchy, which can be reduced to a super 2+1 dimensional nonlinear Schrodinger equation. In particular, two main results are obtained. One of them is a set of super 2+1 dimensional integrable couplings. The other one is a 2+1 dimensional diffusion equation. The Hamiltonian structure of the super 2+1 dimensional hierarchy is derived by using the super-trace identity.",

keywords = "Hamiltonian Structure, Super 2+1 Dimensional Equation, Super Lie Algebra",

author = "Yufeng Zhang and TAM, {Hon Wah} and Jianqin Mei",

note = "Funding Information: This work was supported by the Innovation Team of Jiangsu Province hosted by the Chinese University of Mining and Technology (2014), the National Natural Science Foundation of China (Grant No. 11371361), the Fundamental Research Funds for the Central Universities (Grant No. 2013XK03), the Natural Science Foundation of Shandong Province (Grant No. ZR2013AL016), and Hong Kong Research Grant Council (Grant No. HKBU202512). Yufeng Zhang is grateful to the reviewers for their helpful suggestions.",

year = "2015",

doi = "10.1515/zna-2015-0213",

language = "English",

volume = "70",

pages = "791--796",

journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",

issn = "0932-0784",

publisher = "Walter de Gruyter GmbH",

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T1 - Some 2+1 dimensional super-integrable systems

AU - Zhang, Yufeng

AU - TAM, Hon Wah

AU - Mei, Jianqin

N1 - Funding Information: This work was supported by the Innovation Team of Jiangsu Province hosted by the Chinese University of Mining and Technology (2014), the National Natural Science Foundation of China (Grant No. 11371361), the Fundamental Research Funds for the Central Universities (Grant No. 2013XK03), the Natural Science Foundation of Shandong Province (Grant No. ZR2013AL016), and Hong Kong Research Grant Council (Grant No. HKBU202512). Yufeng Zhang is grateful to the reviewers for their helpful suggestions.

PY - 2015

Y1 - 2015

N2 - In the article, we make use of the binormial-residue- representation (BRR) to generate super 2+1 dimensional integrable systems. Using these systems, we can deduce a super 2+1 dimensional AKNS hierarchy, which can be reduced to a super 2+1 dimensional nonlinear Schrodinger equation. In particular, two main results are obtained. One of them is a set of super 2+1 dimensional integrable couplings. The other one is a 2+1 dimensional diffusion equation. The Hamiltonian structure of the super 2+1 dimensional hierarchy is derived by using the super-trace identity.

AB - In the article, we make use of the binormial-residue- representation (BRR) to generate super 2+1 dimensional integrable systems. Using these systems, we can deduce a super 2+1 dimensional AKNS hierarchy, which can be reduced to a super 2+1 dimensional nonlinear Schrodinger equation. In particular, two main results are obtained. One of them is a set of super 2+1 dimensional integrable couplings. The other one is a 2+1 dimensional diffusion equation. The Hamiltonian structure of the super 2+1 dimensional hierarchy is derived by using the super-trace identity.

KW - Hamiltonian Structure

KW - Super 2+1 Dimensional Equation

KW - Super Lie Algebra

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DO - 10.1515/zna-2015-0213

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JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 10

ER -

Some 2+1 dimensional super-integrable systems

Abstract

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