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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 018, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.018 (Mi sigma475) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Integrability of New Two-Component KdV Equation

Ziemowit Popowicz

Institute for Theoretical Physics, University of Wroclaw, Wroclaw 50204, Poland
Full-text PDF (241 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2010.018
Abstract: We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev–Petviashvilli–Radul–Manin hierarchy is presented. For this new supersymmetric equation the Lax representation and odd Hamiltonian structure is given.
Keywords: KdV equation; Lax representation; integrability; supersymmetry.
Received: October 19, 2009; in final form February 4, 2010; Published online February 12, 2010
Bibliographic databases:
Document Type: Article
MSC: 35J05; 81Q60
Language: English
Citation: Ziemowit Popowicz, “The Integrability of New Two-Component KdV Equation”, SIGMA, 6 (2010), 018, 10 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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