| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2026 |
| 1. |
I. T. Habibullin, A. R. Khakimova, “On the Construction of Solutions of the Davey – Stewartson I Equation via Dressing Chain”, Regular and Chaotic Dynamics, 2026, no. 31, 426–437   |
| 2. |
I. T. Habibullin, A. R. Khakimova, “Integrable discrete systems”, Mat. Sb. (to appear) |
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| 2026 |
| 3. |
A. R. Khakimova, “O metode diskretizatsii trekhmernykh uravnenii tipa poludiskretnoi tsepochki Tody”, Ufimskii matematicheskii zhurnal, 18:2 (2026), 104–113 |
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| 2025 |
| 4. |
Ufa Math. J., 17:2 (2025), 105–119 |
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| 2024 |
| 5. |
A. R. Khakimova, “Darboux-integrable Reductions of the Hirota-Miwa Type Discrete Equations”, Lobachevskii Journal of Mathematics, 45 (2024), 2717–2728
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2
[x]
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| 6. |
Ufa Math. J., 16:4 (2024), 124–135 |
| 7. |
K. I. Faizulina, A. R. Khakimova, “Reduction of the Laplace sequence and sine-Gordon type equations”, Journal of Physics A: Mathematical and Theoretical, 57:49 (2024), 495208, 22 pp. |
| 8. |
I. T. Habibullin, A. R. Khakimova, “Higher symmetries of the lattices in 3D”, Regular and Chaotic Dynamics, 29:6 (2024), 853-865
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1
[x]
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| 2023 |
| 9. |
I. T. Habibullin, A. R. Khakimova, A. O. Smirnov, “Construction of exact solutions to the Ruijsenaars-Toda lattice via generalized invariant manifolds”, Nonlinearity, 36:1 (2023), 231  
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2
[x]
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| 10. |
M. N. Kuznetsova, I. T. Habibullin, A. R. Khakimova, “On the problem of classifying integrable chains with three independent variables”, Theoret. and Math. Phys., 215:2 (2023), 667–690    |
| 11. |
I. T. Habibullin, A. R. Khakimova, “On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras”, Theoret. and Math. Phys., 217:1 (2023), 1541–1573 |
| 12. |
I. T. Habibullin, A. R. Khakimova, A. U. Sakieva, “Miura-Type Transformations for Integrable Lattices in 3D”, Mathematics, 11:16 (2023), 3522, 15 pp.
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2
[x]
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| 13. |
K. I. Faizulina, I. T. Habibullin, A. R. Khakimova, “Laplace transformations and sine-Gordon type integrable PDE”, Journal of Physics A: Mathematical and Theoretical, 57:1 (2023), 015203, 21 pp.
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3
[x]
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| 2022 |
| 14. |
I. T. Habibullin, A. R. Khakimova, “Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph”, Theoret. and Math. Phys., 213:2 (2022), 1589–1612 |
| 15. |
I. T. Habibullin, A. R. Khakimova, “Algebraic reductions of discrete equations of Hirota-Miwa type”, Ufa Mathematical Journal, 14:4 (2022), 113–126 |
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| 2021 |
| 16. |
Ufa Math. J., 13:2 (2021), 135–151 |
| 17. |
I. T. Habibullin, A. R. Khakimova, “Characteristic Lie algebras of integrable differential-difference equations in 3D”, Journal of Physics A: Mathematical and Theoretical, 54:29 (2021), 295202, 34 pp.
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11
[x]
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| 18. |
I. T. Habibullin, A. R. Khakimova, “Invariant manifolds of hyperbolic integrable equations and their applications”, Journal of Mathematical Sciences, 257:3 (2021), 410-423
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2
[x]
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| 2020 |
| 19. |
I. T. Habibullin, A. R. Khakimova, “Integrable Boundary Conditions for the Hirota-Miwa Equation and Lie Algebras”, Journal of Nonlinear Mathematical Physics, 27:3 (2020), 393-413
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4
[x]
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| 20. |
I. T. Habibullin, A. R. Khakimova, “Invariant manifolds and separation of the variables for integrable chains”, Journal of Physics A: Mathematical and Theoretical, 53:38 (2020), 385202, 17 pp.
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3
[x]
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| 2021 |
| 21. |
I. T. Habibullin, A. R. Khakimova, “Invariant manifolds of hyperbolic integrable equations and their applications”, J. Math. Sci. (N. Y.), 257:3 (2021), 410–423 |
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| 2019 |
| 22. |
I. T. Habibullin, A. R. Khakimova, “Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}$”, Journal of Physics A: Mathematical and Theoretical, 52:36 (2019), 365202, 29 pp.
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4
[x]
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| 23. |
E. V. Pavlova, I. T. Habibullin, A. R. Khakimova, “On One Integrable Discrete System”, Journal of Mathematical Sciences, 241:4 (2019), 409-422
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1
[x]
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| 2018 |
| 24. |
I. T. Habibullin, A. R. Khakimova, “A direct algorithm for constructing recursion operators and Lax pairs for integrable models”, Theoret. and Math. Phys., 196:2 (2018), 1200–1216  |
| 25. |
I. T. Habibullin, A. R. Khakimova, “On the recursion operators for integrable equations”, Journal of Physics A: Mathematical and Theoretical, 51:42 (2018), 22 pp.
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8
[x]
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| 26. |
A. R. Khakimova, “On description of generalized invariant manifolds for nonlinear equations”, Ufa Math. J., 10:3 (2018), 106–116 |
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| 2019 |
| 27. |
E. V. Pavlova, I. T. Habibullin, A. R. Khakimova, “On one integrable discrete system”, Journal of Mathematical Sciences, 241:4 (2019), 409–422 |
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| 2017 |
| 28. |
I. T. Habibullin, A. R. Khakimova, “Invariant manifolds and Lax pairs for integrable nonlinear chains”, Theoret. and Math. Phys., 191:3 (2017), 793–810 |
| 29. |
I. T. Habibullin, A. R. Khakimova, “On a method for constructing the Lax pairs for integrable models via a quadratic ansatz”, Journal of Physics A: Mathematical and Theoretical, 50 (2017), 305206, 19 pp., arXiv: 1702.04533
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9
[x]
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| 2016 |
| 30. |
I. T. Habibullin, A. R. Khakimova, M. N. Poptsova, “On a method for constructing the Lax pairs for nonlinear integrable equations”, Journal of Physics A: Mathematical and Theoretical, 49 (2016), 035202, 35 pp., arXiv: 1506.02563
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17
[x]
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