期刊
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
卷 5, 期 3, 页码 256-272出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/eajam.110215.010815a
关键词
Soliton theory; generalised Lie superalgebra; (2+1)-dimensional super mKdV hierarchy; supertrace identity; G '/G(2) method
资金
- National Natural Science Foundation of China [11271007]
- Special Funds for Theoretical Physics of the National Natural Science Foundation of China [11447205]
- Science and Technology Plan Project of Qingdao [14-2-4-77-jch]
- SDUST Research Fund [2012KYTD105]
Much attention has been given to constructing Lie and Lie superalgebra for integrable systems in soliton theory, which often have significant scientific applications. However, this has mostly been confined to (1+1)-dimensional integrable systems, and there has been very little work on (2+1)-dimensional integrable systems. In this article, we construct a class of generalised Lie superalgebra that differs from more common Lie superalgebra to generate a (2+1)-dimensional super modified Korteweg-de Vries (mKdV) hierarchy, via a generalised Tu scheme based on the Lax pair method where the Hamiltonian structure derives from a generalised supertrace identity. We also obtain some solutions of the (2+1)-dimensional mKdV equation using the G '/G(2) method.
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