Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-09-08
Nonlinear Sciences
Exactly Solvable and Integrable Systems
41 pages, submitted to SIGMA, special issue, proceedings of "International Conference Geometrical Methods in Mathematical Phys
Scientific paper
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be integrable. For the systems corresponding to the algebras $A_2$, $A_1^{(1)}$, $A_2^{(2)}$ generalized symmetries are found. For the systems $A_N$, $B_N$, $C_N$, $G_2$, $D_3$ complete sets of integrals are found. The Lax representation for the difference-difference systems corresponding to $A_N$, $B_N$, $C_N$, $A^{(1)}_1$, $D^{(2)}_N$ are presented.
Garifullin Rustem
Habibullin Ismagil
Yangubaeva Marina
No associations
LandOfFree
Affine and finite Lie algebras and integrable Toda field equations on discrete space-time 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 Affine and finite Lie algebras and integrable Toda field equations on discrete space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine and finite Lie algebras and integrable Toda field equations on discrete space-time will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-475099