View source for Krasilshchik J., Verbovetsky A., Vitolo R. On the relationship between integrability structures and higher symmetries, talk at WASCOM 2011 (Brindisi, Italy), 13-16 June 2011 (abstract)

{{MeetingTalk
| speaker = Raffaele Vitolo
| title = On the relationship between integrability structures and higher symmetries
| abstract = It is generally agreed that a system of (non-linear) differential equations is said to be integrable if there exists an infinite sequence of commuting generalized symmetries.  Such a sequence can be generated through differential operators like recursion operators, (commuting pairs of) Hamiltonian operators or symplectic operators. In this talk a new method for finding such operators will be presented.  It amounts at computing the operators as generalized symmetries of a system of (nonlinear) DEs which is obtained from the initial system of PDEs <math>F=0</math> by adding the equations <math>\ell_F(q)=0</math> or <math>\ell_F^*(p)=0$, where $\ell</math> stands for the linearization and <math>\ell^*</math> stands for its adjoint.  Many examples of computations for evolutionary and non-evolutionary equations will be provided.
| slides = [[Media:Krasilshchik J., Verbovetsky A., Vitolo R. On the relationship between integrability structures and higher symmetries (presentation at WASCOM 2011, Brindisi, Italy, 12-18 June 2011).pdf|Krasilshchik J., Verbovetsky A., Vitolo R. On the relationship between integrability structures and higher symmetries (presentation at WASCOM 2011, Brindisi, Italy, 12-18 June 2011).pdf]]
| references = 
| 79YY-MM-DD = 7988-93-86
}}