Euler Equations Related to the Generalized Neveu-Schwarz Algebra

Symmetry Integrability and Geometry-Methods and Applications

article

Dafeng Zuo¹ 

[1] School of Mathematical Science, University of Science and Technology of China;Wu Wen-Tsun Key Laboratory of Mathematics, Chinese Academy of Sciences

关键词: supersymmetric;    bi-superhamiltonian;    Euler equations;    generalized Neveu– Schwarz algebra;   

DOI  :  10.3842/SIGMA.2013.045

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown