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Euler Equations Related to the Generalized Neveu-Schwarz Algebra
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Euler Equations Related to the Generalized Neveu-Schwarz Algebra
Інший ID:
2010 Mathematics Subject Classification: 37K10; 35Q51
DOI: http://dx.doi.org/10.3842/SIGMA.2013.045
DOI: http://dx.doi.org/10.3842/SIGMA.2013.045
Посилання:
Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ.
Підтримка:
The author thanks Qing-Ping Liu and the anonymous referees for valuable suggestions and
Qing Chen, Bumsig Kim and Youjin Zhang for the continued supports. This work is partially
supported by “PCSIRT” and the Fundamental Research Funds for the Central Universities
(WK0010000024) and NSFC(11271345) and SRF for ROCS,SEM.
Дата:
2013
Переглядів:
575
Завантажень:
293
Анотація:
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.
