Szablikowski B.M. Novikov algebras and a classification of multicomponent Camassa-Holm equations, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract): Difference between revisions
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| title = Novikov algebras and a classification of multicomponent Camassa-Holm equations | | title = Novikov algebras and a classification of multicomponent Camassa-Holm equations | ||
| abstract = A class of multi-component integrable systems associated to Novikov algebras, which interpolate between KdV and Camassa-Holm type equations, is obtained. The construction is based on the classification of low-dimensional Novikov algebras by Bai and Meng. The multi-component equations under consideration are shown to be bi-Hamiltonian systems that can be interpreted as Euler equations on centrally extended Lie algebras associated to Novikov algebras. The related bilinear forms generating cocycles of first, second and third order are classified. Several examples, including known integrable equations, are provided. (It is a joint work with Ian Strachan from Glasgow University.) | | abstract = A class of multi-component integrable systems associated to Novikov algebras, which interpolate between KdV and Camassa-Holm type equations, is obtained. The construction is based on the classification of low-dimensional Novikov algebras by Bai and Meng. The multi-component equations under consideration are shown to be bi-Hamiltonian systems that can be interpreted as Euler equations on centrally extended Lie algebras associated to Novikov algebras. The related bilinear forms generating cocycles of first, second and third order are classified. Several examples, including known integrable equations, are provided. (It is a joint work with Ian Strachan from Glasgow University.) | ||
| slides = | | slides = [[Media:Szablikowski B.M. Novikov algebras and a classification of multicomponent Camassa-Holm equations (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf|Szablikowski B.M. Novikov algebras and a classification of multicomponent Camassa-Holm equations (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf]] | ||
| references = {{arXiv|1309.3188}} | | references = {{arXiv|1309.3188}} | ||
| 79YY-MM-DD = 7986-89-85 | | 79YY-MM-DD = 7986-89-85 | ||
}} | }} | ||
Latest revision as of 14:21, 13 November 2013
Speaker: Błażej Szablikowski
Title: Novikov algebras and a classification of multicomponent Camassa-Holm equations
Abstract:
A class of multi-component integrable systems associated to Novikov algebras, which interpolate between KdV and Camassa-Holm type equations, is obtained. The construction is based on the classification of low-dimensional Novikov algebras by Bai and Meng. The multi-component equations under consideration are shown to be bi-Hamiltonian systems that can be interpreted as Euler equations on centrally extended Lie algebras associated to Novikov algebras. The related bilinear forms generating cocycles of first, second and third order are classified. Several examples, including known integrable equations, are provided. (It is a joint work with Ian Strachan from Glasgow University.)
Slides: Szablikowski B.M. Novikov algebras and a classification of multicomponent Camassa-Holm equations (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf
References:
arXiv:1309.3188