Euler Equations Related to the Generalized Neveu-Schwarz Algebra
Exactly Solvable and Integrable Systems
2013-06-18 v1 Mathematical Physics
math.MP
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
Cite
@article{arxiv.1306.3628,
title = {Euler Equations Related to the Generalized Neveu-Schwarz Algebra},
author = {Dafeng Zuo},
journal= {arXiv preprint arXiv:1306.3628},
year = {2013}
}