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Integrable Systems and their Recursion Operators
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sanders, Jan A. Wang, Jing Ping |
| Copyright Year | 2007 |
| Abstract | In this paper we discuss the structure of recursion operators. We show that recursion operators of evolution equations have a nonlocal part that is determined by symmetries and cosymmetries. This enables us to compute recursion operators more systematically. Under certain conditions (which hold for all examples known to us) Nijenhuis operators are well defined, i.e., they give rise to hierarchies of infinitely many commuting symmetries of the operator. Moreover, the nonlocal part of a Nijenhuis operator contains the candidates of roots and coroots. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.few.vu.nl/~jansa/ftp/WORK29/WORK29ELS.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Aharonov–Bohm effect Logical connective Nonlocal Lagrangian Plant Roots Recursion |
| Content Type | Text |
| Resource Type | Article |