Authors: Dragović, Vladimir 
Gajić, Borislav 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Skew-symmetric lax polynomial matrices and integrable rigid body systems
Journal: Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model: Perspectives of the Balkan Collaborations
First page: 208
Last page: 219
Issue Date: 1-Jan-2005
ISBN: 978-9-812-70216-6
DOI: 10.1142/9789812702166_0019
Skew-symmetric matrix Lax polynomials are considered. Few rigid body systems with such representations are presented. Lagrange bitop is completely integrable four-dimensional rigid body system. Algebro-geometric integration procedure, using Lax representation, for that system is performed. This integration is based on deep facts from the theory of Prym varieties such as the Mumford relation and Mumford-Dalalyan theory. Class of isoholomorphic integrable systems is established and importation class of its perturbations is observed, generalizing classical Hess-Appel’rot system.
Publisher: World Scientific

Show full item record

Page view(s)

checked on May 9, 2024

Google ScholarTM




Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.