Khanizadeh, F., Mikhailov, Alexander V., Wang, Jing Ping (2013) Darboux transformations and recursion operators for differential-difference equations. Theoretical and Mathematical Physics, 177 (3). pp. 1606-1654. ISSN 0040-5779. (doi:10.1007/s11232-013-0124-z) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:37800)
The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication) | |
Official URL: http://dx.doi.org/10.1007/s11232-013-0124-z |
Abstract
We review two concepts directly related to the Lax representations of integrable systems: Darboux transformations and recursion operators. We present an extensive list of integrable differential-difference equations with their Hamiltonian structures, recursion operators, nontrivial generalized symmetries, and Darboux-Lax representations. The new results include multi-Hamiltonian structures and recursion operators for integrable Volterra-type equations and integrable discretizations of derivative nonlinear Schrödinger equations such as the Kaup-Newell, Chen-Lee-Liu, and Ablowitz-Ramani-Segur (Gerdjikov-Ivanov) lattices. We also compute the weakly nonlocal inverse recursion operators.
Item Type: | Article |
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DOI/Identification number: | 10.1007/s11232-013-0124-z |
Uncontrolled keywords: | symmetry, recursion operator, bi-Hamiltonian structure, Darboux transformation, Lax representation, integrable equation |
Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Jing Ping Wang |
Date Deposited: | 14 Jan 2014 13:45 UTC |
Last Modified: | 16 Feb 2021 12:50 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/37800 (The current URI for this page, for reference purposes) |
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