Автор(ы): Морозов О. И. (ИПУ РАН, Лаборатория 06)Автор(ов): 1 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebrasDOI: 10.1016/j.geomphys.2019.05.001Наименование источника: Journal of Geometry and PhysicsОбозначение и номер тома: Vol. 143Город: MoscowИздательство: ElsevierГод издания: 2019Страницы: 150-163 АннотацияThis paper develops the technique of constructing Lax representations for pdes via non-central extensions generated by non-trivial exotic 2-cocycles of their contact symmetry algebras. We show that the method is applicable to the Lax representations with non-removable spectral parameters. Also we demonstrate that natural extensions of the symmetry algebras produce the integrable hierarchies associated to their pdes. Библиографическая ссылка: Морозов О.И. Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras // Journal of Geometry and Physics. 2019. Vol. 143. С. 150-163.