I. Habibullin

发表

A Direct Algorithm for Constructing Recursion Operators and Lax Pairs for Integrable Models

I. Habibullin, A. Khakimova, 2017, Theoretical and Mathematical Physics.

Invariant manifolds and Lax pairs for integrable nonlinear chains

I. Habibullin, A. Khakimova, I. T. Habibullin, 2017 .

Peculiar symmetry structure of some known discrete nonautonomous equations

R. Yamilov, I. Habibullin, R. Garifullin, 2015, 1501.05435.

Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time ?

I. Habibullin, R. Garifullin, M. Yangubaeva, 2011, 1109.1689.

An algebraic method for classifying S-integrable discrete models

E. V. Gudkova, I. Habibullin, 2010, 1006.3423.

Method for searching higher symmetries for quad-graph equations

E. V. Gudkova, I. Habibullin, R. Garifullin, 2011, 1104.0493.

Classification of integrable discrete Klein–Gordon models

E. V. Gudkova, I. Habibullin, 2010, 1011.3364.

Truncations of Toda chains and the reduction problem

I. Habibullin, 2005 .

An initial-boundary value problem on the half-line for the MKdV equation

I. Habibullin, 1998 .

Boundary conditions for integrable lattices

V. E. Adler, I. Habibullin, 1997 .

Boundary conditions for integrable equations

V. E. Adler, M. Gürses, I. Habibullin, 1997 .

Symmetry Approach in Boundary Value Problems

I. Habibullin, 1995, solv-int/9508005.

Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph

I. Habibullin, A. Khakimova, 2022, Theoretical and Mathematical Physics.

Integrable boundary value problems for the multicomponent Schro¨dinger equations

S. I. Svinolupov, I. Habibullin, 1995 .

Integrable Boundary Conditions for the Hirota-Miwa Equation and Lie Algebras

I. Habibullin, A. Khakimova, 2019, Journal of Nonlinear Mathematical Physics.

Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras AN−1(1)

I. Habibullin, A. Khakimova, 2019, Journal of Physics A: Mathematical and Theoretical.

Asymptotic diagonalization of the discrete Lax pair around singularities and conservation laws for dynamical systems

I. Habibullin, M. Poptsova, 2014, 1408.4580.

C-Series Discrete Chains

I. Habibullin, 2006 .

On the recursion operators for integrable equations

I. Habibullin, A. Khakimova, 2018, Journal of Physics A: Mathematical and Theoretical.

Discrete Toda field equations

I. Habibullin, 2005, nlin/0503055.

Multidimensional integrable boundary problems

I. Habibullin, 2004 .

Characteristic Lie rings, finitely-generated modules and integrability conditions for (2 + 1)-dimensional lattices

I. Habibullin, 2012, 1208.5302.

On a method for constructing the Lax pairs for nonlinear integrable equations

I. Habibullin, A. Khakimova, M. Poptsova, 2015, 1506.02563.

Cartan matrices and integrable lattice Toda field equations

K. Zheltukhin, I. Habibullin, M. Yangubaeva, 2011, 1105.4446.

Discretization of hyperbolic type Darboux integrable equations preserving integrability

I. Habibullin, N. Zheltukhina, A. Sakieva, 2011, 1102.1236.

Quantum and classical integrable sine-Gordon model with defect

A. Kundu, I. Habibullin, 2007, 0709.4611.

Formal diagonalization of a discrete lax operator and conservation laws and symmetries of dynamical systems

I. Habibullin, M. Yangubaeva, 2013, 1305.7042.

Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations

Rustem N Garifullin, Ismagil T Habibullin, I. Habibullin, 2020, Journal of Physics A: Mathematical and Theoretical.

On the classification of Darboux integrable chains

I. Habibullin, A. Pekcan, N. Zheltukhina, 2008, 0806.3144.

Ju n 20 08 On the Classification of Darboux Integrable Chains

I. Habibullin, A. Pekcan, N. Zheltukhina, 2008 .

On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations

I. Habibullin, A. Pekcan, N. Zheltukhina, 2007, nlin/0703065.

Characteristic Lie algebra and classification of semidiscrete models

I. Habibullin, A. Pekcan, 2006, nlin/0610074.

Invariant Manifolds of Hyperbolic Integrable Equations and their Applications

I. T. Habibullin, A. R. Khakimova, I. Habibullin, 2021, Journal of Mathematical Sciences.

Integrable Two-Dimensional Lattices. Characteristic Lie Rings and Classification

I. Habibullin, M. Poptsova, 2019, Journal of Mathematical Sciences.

On a method for constructing the Lax pairs for integrable models via a quadratic ansatz

I. Habibullin, A. Khakimova, 2017, 1702.04533.

Boundary conditions for integrable discrete chains

I. Habibullin, T. Kazakova, 2001 .

Characteristic Lie algebras of integrable differential-difference equations in 3D

I T Habibullin, A R Khakimova, I. Habibullin, 2021, Journal of Physics A: Mathematical and Theoretical.

Discretization of Liouville type nonautonomous equations preserving integrals

I. Habibullin, N. Zheltukhina, 2014, Journal of Nonlinear Mathematical Physics.

Integrable boundary conditions for nonlinear lattices

I. Habibullin, A. N. Vil'danov, 1998 .

On One Integrable Discrete System

I. Habibullin, A. Khakimova, E. Pavlova, 2019, Journal of Mathematical Sciences.

Complete list of Darboux Integrable Chains of the form $t_{1x}=t_x+d(t,t_1)$

I. Habibullin, A. Pekcan, N. Zheltukhina, 2009, 0907.3785.

On the problem of classifying integrable chains with three independent variables

I. Habibullin, A. Khakimova, M. Kuznetsova, 2023, Theoretical and Mathematical Physics.

An algebraic criterion of the Darboux integrability of differential-difference equations and systems

I. Habibullin, M. Kuznetsova, 2021, Journal of Physics A: Mathematical and Theoretical.

Affine Lie algebras, Lax pairs and integrable discrete and continuous systems

I. Habibullin, R. Garifullin, 2012, 1205.6620.

Characteristic Lie rings of nonlinear PDE

A. V. Zhiber, M. Gürses, I. Habibullin, 2011 .

Generalized invariant manifolds for integrable equations and their applications

A. O. Smirnov, I. Habibullin, A. Khakimova, 2021, 2103.16941.

Invariant manifolds and separation of the variables for integrable chains

I. Habibullin, A. Khakimova, 2020, Journal of Physics A: Mathematical and Theoretical.

On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras

I. Habibullin, A. Khakimova, 2023, Theoretical and Mathematical Physics.

Integrability conditions for two-dimensional Toda-like equations

I. Habibullin, M. Kuznetsova, A. Sakieva, 2020, Journal of Physics A: Mathematical and Theoretical.

Integrability conditions for two-dimensional lattices

I. Habibullin, M. N. Kuznetsova, A. Sakieva, 2020, 2005.09712.

On a class of 2D integrable lattice equations

E. Ferapontov, V. Novikov, I. Habibullin, 2020, 2005.06738.

A classification algorithm for integrable two-dimensional lattices via Lie—Rinehart algebras

I. Habibullin, M. Kuznetsova, 2020, Theoretical and Mathematical Physics.

A classification algorithm for integrable two-dimensional lattices via Lie—Rinehart algebras

I. Habibullin, M. Kuznetsova, 2019, 1907.12269.

Algebraic properties of quasilinear two-dimensional lattices connected with integrability

I. Habibullin, M. Poptsova, 2018, 1808.04562.

Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds

I. Habibullin, A. Khakimova, A. Smirnov, 2021, Nonlinearity.

Hydrodynamic type integrable equations on a segment and a half-line

M. Gurses, K. Zheltukhin, I. Habibullin, 2008, 0805.3828.

Boundary value problems for integrable equations compatible with the symmetry algebra

M. Gurses, I. Habibullin, Burak Gurel, 1994, solv-int/9411001.

Boundary value problems compatible with symmetries

M. Gürses, I. Habibullin, Burak Gürel, 1994 .