Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited

Details Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited

2008-04-12

arxiv.org/abs/0804.2020v3

Physics

Mathematical Physics

10 pages, LaTeX; minor changes in terminology; some references and definitions added

Scientific paper

We consider the Burgers-type system studied by Foursov, w_t &=& w_{xx} + 8 w w_x + (2-4\alpha)z z_x, z_t &=& (1-2\alpha)z_{xx} - 4\alpha z w_x + (4-8\alpha)w z_x - (4+8\alpha)w^2 z + (-2+4\alpha)z^3, (*) for which no recursion operator or master symmetry was known so far, and prove that the system (*) admits infinitely many local generalized symmetries that are constructed using a nonlocal {\em two-term} recursion relation rather than from a recursion operator.

Affiliated with

Also associated with

No associations

Rating

Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited 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 Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474531