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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 045, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.045 (Mi sigma828) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Euler Equations Related to the Generalized Neveu–Schwarz Algebra

Dafeng Zuoab

a School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P.R. China
b Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, P. R. China
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DOI: https://doi.org/10.3842/SIGMA.2013.045
Abstract: In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu–Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-component Camassa–Holm equation and the 2-component Hunter–Saxton equation. To our knowledge, most of them are new.
Keywords: supersymmetric; bi-superhamiltonian; Euler equations; generalized Neveu–Schwarz algebra.
Received: March 11, 2013; in final form June 12, 2013; Published online June 16, 2013
Bibliographic databases:
Document Type: Article
MSC: 37K10; 35Q51
Language: English
Citation: Dafeng Zuo, “Euler Equations Related to the Generalized Neveu–Schwarz Algebra”, SIGMA, 9 (2013), 045, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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