NDLI: Second Order Integrability Conditions for Difference Equations: An Integrable Equation

Content Provider	Springer Nature Link
Author	Xenitidis, Pavlos Mikhailov, Alexandre V.
Copyright Year	2013
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.
Ending Page	450
Page Count	20
Starting Page	431
File Format	PDF
ISSN	03779017
e-ISSN	15730530
Journal	Letters in Mathematical Physics
Issue Number	4
Volume Number	104
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-11-16
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) recursion operators Lie-BÃ¤cklund and other transformations Bogoyavlensky lattice Lax pair Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity difference equations Geometry integrability conditions conservation laws symmetries Partial difference equations Symmetries, Lie-group and Lie-algebra methods Group Theory and Generalizations
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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