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Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras , , , , …
Cartan matrices and integrable lattice Toda field equations
Ismagil Habibullin, Kostyantyn Zheltukhin, Marina Yangubaeva
Differential-difference integrable exponential type systems are studied corresponding to the Cartan matrices of semi-simple or affine Lie algebras. For the systems corresponding to…
Method for searching higher symmetries for quad graph equations
Rustem N. Garifullin, Elena V. Gudkova, Ismagil T. Habibullin
Generalized symmetry integrability test for discrete equations on the square lattice is studied. Integrability conditions are discussed. A method for searching higher symmetries (i…
Discretization of hyperbolic type Darboux integrable equations preserving integrability
Ismagil Habibullin, Natalya Zheltukhina, Alfia Sakieva
A method of integrable discretization of the Liouville type nonlinear partial differential equations is suggested based on integrals. New examples of discrete Liouville type models…