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nlin.SI2011★ 20 cited
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 , , , , …
nlin.SI2011★ 25 cited
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…