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1
Characteristic Lie algebras of integrable differential-difference equations in 3D
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Characteristic Lie algebras of integrable differential-difference equations in 3D

Habibullin, I T ; Khakimova, A R

Journal of physics. A, Mathematical and theoretical, 2021-07, Vol.54 (29), p.295202 [Peer Reviewed Journal]

IOP Publishing

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2
An algebraic criterion of the Darboux integrability of differential-difference equations and systems
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An algebraic criterion of the Darboux integrability of differential-difference equations and systems

Habibullin, I T ; Kuznetsova, M N

Journal of physics. A, Mathematical and theoretical, 2021-12, Vol.54 (50), p.505201 [Peer Reviewed Journal]

IOP Publishing

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3
Laplace transformations and sine-Gordon type integrable PDE
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Article
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Laplace transformations and sine-Gordon type integrable PDE

Habibullin, I T ; Faizulina, K I ; Khakimova, A R

Journal of physics. A, Mathematical and theoretical, 2024-01, Vol.57 (1), p.15203 [Peer Reviewed Journal]

IOP Publishing

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4
Invariant manifolds and separation of the variables for integrable chains
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Article
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Invariant manifolds and separation of the variables for integrable chains

Habibullin, I T ; Khakimova, A R

Journal of physics. A, Mathematical and theoretical, 2020-09, Vol.53 (38), p.385202 [Peer Reviewed Journal]

IOP Publishing

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5
Integrability conditions for two-dimensional Toda-like equations
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Article
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Integrability conditions for two-dimensional Toda-like equations

Habibullin, I T ; Kuznetsova, M N ; Sakieva, A U

Journal of physics. A, Mathematical and theoretical, 2020-10, Vol.53 (39), p.395203 [Peer Reviewed Journal]

IOP Publishing

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6
Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}
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Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}

Habibullin, I T ; Khakimova, A R

Journal of physics. A, Mathematical and theoretical, 2019-09, Vol.52 (36), p.365202 [Peer Reviewed Journal]

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7
On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras
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On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras

Habibullin, I. T. ; Khakimova, A. R.

Theoretical and mathematical physics, 2023-10, Vol.217 (1), p.1541-1573 [Peer Reviewed Journal]

Moscow: Pleiades Publishing

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8
On the recursion operators for integrable equations
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On the recursion operators for integrable equations

Habibullin, I T ; Khakimova, A R

Journal of physics. A, Mathematical and theoretical, 2018-10, Vol.51 (42), p.425202 [Peer Reviewed Journal]

IOP Publishing

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9
Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds
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Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds

Habibullin, I T ; Khakimova, A R ; Smirnov, A O

Nonlinearity, 2023-01, Vol.36 (1), p.231-254 [Peer Reviewed Journal]

IOP Publishing

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10
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph
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Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph

Habibullin, I. T. ; Khakimova, A. R.

Theoretical and mathematical physics, 2022-11, Vol.213 (2), p.1589-1612 [Peer Reviewed Journal]

Moscow: Pleiades Publishing

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