19 citations · 66 across the 18 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
nlin.SI2023
On the classification of nonlinear integrable three-dimensional chains by means of characteristic Lie algebras
I T Habibullin, A R Khakimova
The article continues the work on the description of integrable nonlinear chains with three independent variables of the following form $u^j_{n+1,x}=u^j_{n,x}+f(u^{j+1}_{n}, u^{j}_…
nlin.SI2023
Laplace transformations and sine-Gordon type integrable PDE
I T Habibullin, K I Faizulina, A R Khakimova
It is well known that the Laplace cascade method is an effective tool for constructing solutions to linear equations of hyperbolic type, as well as nonlinear equations of the Liouv…
nlin.SI2023
Miura type transformations for integrable lattices in 3D
I. T. Habibullin, A. R. Khakimova, A. U. Sakieva
The article studies a class of integrable semidiscrete equations with one continuous and two discrete independent variables. Miura type transformations are obtained that relate the…