Cosymmetries and Nijenhuis recursion operators for difference equations

Details Cosymmetries and Nijenhuis recursion operators for difference equations Cosymmetries and Nijenhuis recursion operators for difference equations

2010-09-13

arxiv.org/abs/1009.2403v1

Nonlinearity 24:2079--2097, 2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

In this paper we discuss the concept of cosymmetries and co--recursion operators for difference equations and present a co--recursion operator for the Viallet equation. We also discover a new type of factorisation for the recursion operators of difference equations. This factorisation enables us to give an elegant proof that the recursion operator given in arXiv:1004.5346 is indeed a recursion operator for the Viallet equation. Moreover, we show that this operator is Nijenhuis and thus generates infinitely many commuting local symmetries. This recursion operator and its factorisation into Hamiltonian and symplectic operators can be applied to Yamilov's discretisation of the Krichever-Novikov equation.

Affiliated with

Also associated with

No associations

Rating

Cosymmetries and Nijenhuis recursion operators for difference equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cosymmetries and Nijenhuis recursion operators for difference equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cosymmetries and Nijenhuis recursion operators for difference equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337733