Supersymmetric reciprocal transformation and its applications

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3481568· OSTI ID:21476499

Liu, Q P ^[1]; Popowicz, Ziemowit ^[2]; Kai, Tian ^[3]

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1. Department of Mathematics, China University of Mining and Technology, Beijing 100083 (China)
2. Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-205, Wroclaw (Poland)
3. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190 (China)

The supersymmetric analog of the reciprocal transformation is introduced. This is used to establish a transformation between one of the supersymmetric Harry Dym equations and the supersymmetric modified Korteweg-de Vries equation. The reciprocal transformation, as a Baecklund-type transformation between these two equations, is adopted to construct a recursion operator for the supersymmetric Harry Dym equation. By proper factorization of the recursion operator, a bi-Hamiltonian structure is found for the supersymmetric Harry Dym equation. Furthermore, a supersymmetric Kawamoto equation is proposed and is associated with the supersymmetric Sawada-Kotera equation. The recursion operator and odd bi-Hamiltonian structure of the supersymmetric Kawamoto equation are also constructed.

• OSTI ID: 21476499
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 9; Other Information: DOI: 10.1063/1.3481568; (c) 2010 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BAECKLUND TRANSFORMATION
FACTORIZATION
HAMILTONIANS
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
QUANTUM FIELD THEORY
SUPERSYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SYMMETRY
TRANSFORMATIONS