首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Second Order Integrability Conditions for Difference Equations: An Integrable Equation
Authors:Alexandre V Mikhailov  Pavlos Xenitidis
Institution:1. School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK
Abstract:Integrability conditions for difference equations admitting a second order formal recursion operator are presented and the derivation of symmetries and canonical conservation laws are discussed. In a generic case, some of these conditions yield nonlocal conservation laws. A new integrable equation satisfying the second order integrability conditions is presented and its integrability is established by the construction of symmetries, conservation laws and a 3 × 3 Lax representation. Finally, via the relation of the symmetries of this equation to the Bogoyavlensky lattice, an integrable asymmetric quad equation and a consistent pair of difference equations are derived.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号