Dafeng Zuo, “Euler Equations Related to the Generalized Neveu–Schwarz Algebra”, SIGMA, 2013, Volume 9,045, 12 pp.

This article is cited in 12 papers

Euler Equations Related to the Generalized Neveu–Schwarz Algebra

Dafeng Zuo^ab

^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

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.

MSC: 37K10; 35Q51

Received: March 11, 2013; in final form June 12, 2013; Published online June 16, 2013

Language: English

DOI: 10.3842/SIGMA.2013.045