3 papers
nlin.SI2025
On the symmetry classification of integrable chains in 3D. Darboux-integrable reductions and their higher symmetries
R. N. Garifullin, I. T. Habibullin
This paper proposes a method for identifying and classifying integrable nonlinear equations with three independent variables, one of which is discrete and the other two are continu…
math.AP2025
Hyperbolic equations with fifth-order symmetries
Rustem N. Garifullin
This paper examines the classification of hyperbolic equations. We study a class of equations of the form $$\frac{\partial^2 u}{\partial x\partial y}=F\left(\frac{\partial u}{\part…
nlin.SI2025
On a class of exact solutions of the Ishimori equation
Rustem N. Garifullin, Ismagil T. Habibullin
In this paper, a class of particular solutions of the Ishimori equation is found. This equation is known as the spatially two-dimensional version of the Heisenberg equation, which…