Noncommutative Integrable Systems and Quasideterminants

Autor:	Hamanaka, Masashi
Rok vydání:	2010
Předmět:	Mathematical Physics High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1063/1.3367025
Popis:	We discuss extension of soliton theories and integrable systems into noncommutative spaces. In the framework of noncommutative integrable hierarchy, we give infinite conserved quantities and exact soliton solutions for many noncommutative integrable equations, which are represented in terms of Strachan's products and quasi-determinants, respectively. We also present a relation to an noncommutative anti-self-dual Yang-Mills equation, and make comments on how "integrability" should be considered in noncommutative spaces. Comment: 16 pages. Based on invited talks at the World Conference on Nonlinear Analysts (WCNA), Orlando, 2-9 July 2008 and the International Workshop on Nonlinear and Modern Mathematical Physics (NMMP), Beijing, 15-21 July 2009
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1012.6043 Zobrazit plný text záznamu View this record from Arxiv