کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8255611 | 1533710 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations](/preview/png/8255611.png)
چکیده انگلیسی
The important unsolved problem in theory of integrable systems is to find conditions guaranteeing existence of a Lax representation for a given pde. The exotic cohomology of the symmetry algebras opens a way to formulate such conditions in internal terms of the pde s under the study. In this paper we consider certain examples of infinite-dimensional Lie algebras with nontrivial second exotic cohomology groups and show that the Maurer-Cartan forms of the associated extensions of these Lie algebras generate Lax representations for integrable systems, both known and new ones.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 128, June 2018, Pages 20-31
Journal: Journal of Geometry and Physics - Volume 128, June 2018, Pages 20-31
نویسندگان
Oleg I. Morozov,