Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Habibullin, I. T."'
Autor:
Habibullin, I. T., Khakimova, A. R.
Publikováno v:
Ufa Mathematical Journal, 16:4 (2024), 124-135
The duality between a class of the Davey-Stewartson type coupled systems and a class of two-dimensional Toda type lattices is discussed. A new coupled system related to the recently found lattice is presented. A method for eliminating nonlocalities i
Externí odkaz:
http://arxiv.org/abs/2412.02226
Autor:
Habibullin, I. T., Khakimova, A. R.
It is known that there is a duality between the Davey--Stewartson type coupled systems and a class of integrable two--dimensional Toda type lattices. More precisely, the coupled systems are generalized symmetries for the lattices and the lattices can
Externí odkaz:
http://arxiv.org/abs/2412.02221
Autor:
Habibullin, I. T., Khakimova, A. R.
The duality between a class of the Davey-Stewartson type coupled systems and a class of two-dimensional Toda type lattices is discussed. For the recently found integrable lattice the hierarchy of symmetries is described. Second and third order symmet
Externí odkaz:
http://arxiv.org/abs/2409.07017
Autor:
Habibullin, I. T., Sakieva, A. U.
The article considers lattices of the two-dimensional Toda type, which can be interpreted as dressing chains for spatially two-dimensional generalizations of equations of the class of nonlinear Schr\"odinger equations. The well-known example of this
Externí odkaz:
http://arxiv.org/abs/2405.10666
Autor:
Habibullin, I T, Khakimova, A R
The article continues the work on the description of integrable nonlinear chains with three independent variables of the following form $u^j_{n+1,x}=u^j_{n,x}+f(u^{j+1}_{n}, u^{j}_n,u^j_{n+1 },u^{j-1}_{n+1})$ by the presence of a hierarchy of reducti
Externí odkaz:
http://arxiv.org/abs/2306.14585
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 Liouville type. The connection between the Laplace method and soliton equat
Externí odkaz:
http://arxiv.org/abs/2305.17996
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 equations of the class. A new integrable chain of this type is found,
Externí odkaz:
http://arxiv.org/abs/2305.08557
The article discusses a new method for constructing algebro-geometric solutions of nonlinear integrable lattices, based on the concept of a generalized invariant manifold (GIM). In contrast to the finite-gap integration method, instead of the eigenfu
Externí odkaz:
http://arxiv.org/abs/2110.14887
An algebraic criterion of the Darboux integrability of differential-difference equations and systems
Autor:
Habibullin, I. T., Kuznetsova, M. N.
Publikováno v:
Journal of Physics A: Mathematical and Theoretical, 54 (2021), 505201 , 20 pp
The article investigates systems of differential-difference equations of hyperbolic type, integrable in sense of Darboux. The concept of a complete set of independent characteristic integrals underlying Darboux integrability is discussed. A close con
Externí odkaz:
http://arxiv.org/abs/2106.08577
In the article we discuss the notion of the generalized invariant manifold introduced in our previous study. In the literature the method of the differential constraints is well known as a tool for constructing particular solutions for the nonlinear
Externí odkaz:
http://arxiv.org/abs/2103.16941