25 citations · 37 across the 3 of their papers we have counts for
3 papers
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…
Classification of integrable discrete Klein-Gordon models
Ismagil T. Habibullin, Elena V. Gudkova
The Lie algebraic integrability test is applied to the problem of classification of integrable Klein-Gordon type equations on quad-graphs. The list of equations passing the test is…
An algebraic method of classification of S-integrable discrete models
Ismagil T. Habibullin, Elena V. Gudkova
A method of classification of integrable equations on quad-graphs is discussed based on algebraic ideas. We assign a Lie ring to the equation and study the function describing the…