Persons: Kuznetsova, Maria Nikolaevna

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Kuznetsova, Maria Nikolaevna

Total publications:	36 (36)
in MathSciNet:	13 (13)
in zbMATH:	4 (4)
in Web of Science:	13 (13)
in Scopus:	16 (16)
Cited articles:	18
Citations:	111
Presentations:	1

Number of views:
This page:	956
Abstract pages:	3432
Full texts:	1226
References:	398

Candidate of physico-mathematical sciences (2013)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

20.06.1986

Keywords:

Integrable discrete models, characteristic algebras

https://www.mathnet.ru/eng/person107955

List of publications on Google Scholar

List of publications on ZentralBlatt

Full list of publications:

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		Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1.	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
2.	M. N. Kuznetsova, “Construction of localized particular solutions of chains with three independent variables”, Theoret. and Math. Phys., 216:2 (2023), 1158–1167
3.	M. N. Kuznetsova, “On nonlinear hyperbolic systems related by Bäcklund transforms”, Ufa Math. J., 15:3 (2023), 80–87
4.	A. V. Zhiber, M. N. Kuznetsova, “Integrals and characteristic Lie rings of semi-discrete systems of equations”, Ufa Math. J., 13:2 (2021), 22–32
5.	Maria N. Kuznetsova, “Lax Pair for a Novel Two-Dimensional Lattice”, SIGMA, 17 (2021), 88 , 13 pp., arXiv: 2102.04207
6.	I. T. Habibullin, M. N. Kuznetsova, “An algebraic criterion of the Darboux integrability of differential-difference equations and systems”, Journal of Physics A: Mathematical and Theoretical, 54:2021 (2021), 505201 , 20 pp.	4 ^[x]
7.	I. T. Habibullin, M. N. Kuznetsova, “A classification algorithm for integrable two-dimensional lattices via Lie–Rinehart algebras”, Theoret. and Math. Phys., 203:1 (2020), 569–581
8.	E. V. Ferapontov, I. T. Habibullin, M. N. Kuznetsova, V. S. Novikov, “On a class of 2D integrable lattice equations”, Journal of Mathematical Physics, 61:7 (2020), 073505 , 15 pp.	12 ^[x]
9.	I. T. Habibullin, M. N. Kuznetsova, A. U. Sakieva, “Integrability conditions for two-dimensional Toda-like equations”, Journal of Physics A: Mathematical and Theoretical, 53:39 (2020), 395203 , 25 pp.	5 ^[x]
10.	Ufa Math. J., 11:3 (2019), 109–131
11.	M. N. Poptsova, “Simmetrii odnoi periodicheskoi tsepochki”, Kompleksnyi analiz. Matematicheskaya fizika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 162, VINITI RAN, M., 2019, 80–84	1 ^[x]
12.	I. T. Habibullin, M. N. Poptsova, “Integrable two-dimensional lattices. Characteristic Lie rings and classification”, Journal of Mathematical Sciences, 241 (2019), 396–408 https://link.springer.com/article/10.1007
13.	M. N. Poptsova, I. T. Habibullin, “Algebraic properties of quasilinear two-dimensional lattices connected with integrability”, Ufa Math. J., 10:3 (2018), 86–105
14.	I. T. Habibullin, M. N. Poptsova, “Integrable two-dimensional lattices. Characteristic Lie rings and classification”, Journal of Mathematical Sciences, 241:4 (2019), 396–408
15.	Ismagil Habibullin, Mariya Poptsova, “Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings”, SIGMA, 13 (2017), 73 , 26 pp.	13 ^[x]
16.	M. N. Poptsova, I. T. Habibullin, “Symmetries and conservation laws for a two-component discrete potentiated Korteweg–de Vries equation”, Ufa Math. Journal, 8:3 (2016), 109–121
17.	I. T. Habibullin, A. R. Khakimova and M. N. Poptsova, “On a method for constructing the Lax pairs for nonlinear integrable equations”, J. Phys. A: Math. Theor., 49:3 (2016), 035202 (to appear) , 35 pp., arXiv: 1506.02563v2	13 ^[x]
18.	I. T. Habibullin and M. N. Poptsova, “Asymptotic diagonalization of the discrete Lax pair around singularities and conservation laws for dynamical systems”, J. Phys. A: Math. Theor., 2015, no. 48, 115203 , 37 pp., arXiv: 1408.4580v2	3 ^[x]
19.	I. T. Khabibullin, M. N. Poptsova, A. R. Khakimova, “O metode postroeniya par Laksa dlya nelineinykh integriruemykh uravnenii”, Sbornik tezisov mezhdunarodnoi nauchnoi konferentsii “Spektralnye zadachi, nelineinyi i kompleksnyi analiz” (1–3 oktyabrya 2015 g.), Bashkirskii gosudarstvennyi universitet, Ufa, 2015, 139–141
20.	Mariya N. Kuznetsova, Asli Pekcan, Anatoliy V. Zhiber, “The Klein–Gordon Equation and Differential Substitutions of the Form $v=\varphi(u,u_x,u_y)$”, SIGMA, 8 (2012), 90 , 37 pp., arXiv: 1111.7255	8 ^[x]
21.	M. N. Kuznetsova, “On nonlinear hyperbolic differential equations related to the Klein–Gordon equation by differential substitutions”, Ufimsk. Mat. Zh., 4:3 (2012), 86–103
22.	M. N. Kuznetsova, “Preobrazovanie Laplasa i nelineinye giperbolicheskie sistemy”, Vestnik Bashkirskogo universiteta, 17:4 (2012), 1653–1657
23.	M. N. Kuznetsova, A. V. Zhiber, “The Klein-Gordon equation and differential substitutions”, VI-th International conference “Solitons, collapses and turbulence: Achievements, developments and perspectives”. The conference proceedings, Russian Academy of Sciences, 2012, 141–142
24.	M. N. Kuznetsova, “Nelineinye giperbolicheskie sistemy uravnenii s nulevymi invariantami Laplasa”, Mezhdunarodnaya shkola-konferentsiya dlya studentov, aspirantov i molodykh uchenykh “Fundamentalnaya matematika i ee prilozheniya v estestvoznanii”. Matematika. T. 1. (Ufa, 2–6 oktyabrya 2011 g.), RITs BashGU, Ufa, 2011, 63–71
25.	M. N. Kuznetsova, “Uravnenie Kleina-Gordona i differentsialnye podstanovki vida $v = \varphi(u,u_x)$”, Mezhdunarodnaya shkola-konferentsiya dlya studentov, aspirantov i molodykh uchenykh “Fundamentalnaya matematika i ee prilozheniya v estestvoznanii”. Matematika. T. 1. (Ufa, 3–7 oktyabrya 2010 g.), RITs BashGU, Ufa, 2010, 76–85
26.	M. N. Kuznetsova, “Laplace transformation and nonlinear hyperbolic equations”, Ufimsk. Mat. Zh., 1:3 (2009), 87–96
27.	M. N. Kuznetsova, “Simmetrii uravneniya ellipticheskogo sinusa”, Vserossiiskaya shkola-konferentsiya dlya studentov, aspirantov i molodykh uchenykh “Fundamentalnaya matematika i ee prilozheniya v estestvoznanii”. Matematika. Tom 2. (Ufa, 2007 g.), RITs BashGU, Ufa, 2007, 170–179
Thesis

28.	M. N. Kuznetsova, Preobrazovanie Laplasa i differentsialnye podstanovki nelineinykh giperbolicheskikh uravnenii, Diss. … kand. fiz.-matem. nauk, FGBOU VPO “Ufimskii gosudarstvennyi aviatsionnyi tekhnicheskii universitet”, Ufa, 2012 , 170 pp.
Proceedings

29.	Kuznetsova M. N., Khabibullin I. T., “Kharakteristicheskie algebry v zadache klassifikatsii integriruemykh dvumerizovannykh tsepochek”, Razdel 8 - Teoriya solitonov, Elektronnye, spinovye i kvantovye protsessy v molekulyarnykh i kristallicheskikh sistemakh: Sb. tezisov dokladov i soobschenii na Vseros. konf. (Ufa, 22–25 maya 2019 g.), Izd-vo BGPU, Ufa, 2019, 117 http://conf-imcp.ru/wp-content/uploads/2019/05/
30.	I. T. Khabibullin, M. N. Poptsova, “Integriruemye dvumerizovannye tsepochki. Kharakteristicheskie koltsa Li i klassifikatsiya”, Ufimskaya mezhdunarodnaya matematicheskaya konferentsiya. Sbornik tezisov (Ufa, 27–30 sentyabrya 2016 g.), Ufa: RITs BashGU, 2016, 173–174
31.	I.T. Habibullin, M.N. Poptsova, “Asymptotic diagonalization of the Discrete Lax pair round singularities and conservation laws for dynamical systems”, Materialy mezhdunarodnoi nauchnoi konferentsii “Spektralnye zadachi, nelineinyi i kompleksnyi analiz” (24–26 sentyabrya 2014 g.), RITs BashGU, Ufa, 2014, 90
32.	M. N. Kuznetsova, “Nelineinye giperbolicheskie uravneniya i preobrazovanie Laplasa $n$-go poryadka”, Tezisy dokladov VI Vserossiiskoi konferentsii “Aktualnye problemy prikladnoi matematiki i mekhaniki”, posvyaschennoi pamyati akademika A.F. Sidorova (Abrau-Dyurso, 10-16 sentyabrya 2012 g.), UrO RAN, Ekaterinburg, 2012, 47–48
33.	M. N. Kuznetsova, “Preobrazovanie Laplasa i nelineinye giperbolicheskie sistemy”, Fundamentalnaya matematika i ee prilozheniya v estestvoznanii: tezisy dokladov Mezhdunarodnoi shkoly-konferentsii dlya studentov, aspirantov i molodykh uchenykh (Ufa, 14–18 oktyabrya 2012 g.), RITs BashGU, Ufa, 2012, 216 (to appear)
34.	A. V. Zhiber, M. N. Kuznetsova, “Nelineinye giperbolicheskie uravneniya i differentsialnye podstanovki”, Differentsialnye uravneniya i ikh prilozheniya. Trudy Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (Sterlitamak, 27–30 iyunya 2011 g.), Gilem, Ufa, 2011, 103–106
35.	M. N. Kuznetsova, “Laplace transformation and nonlinear hyperbolic equations”, Mezhdunarodnaya konferentsiya MOGRAN-13 “Simmetrii i tochnye resheniya differentsialnykh i integro-differentsialnykh uravnenii”. Tezisy dokladov. (Ufa, 2009 g.), UGATU, IMVTs UNTs RAN, IM UNTs RAN, 2009, 45
36.	M. N. Kuznetsova, “Periodicheskaya tsepochka preobrazovanii Laplasa”, VIII regionalnaya shkola-konferentsiya dlya studentov, aspirantov i molodykh uchenykh po matematike, fizike i khimii: Tezisy dokladov. (Ufa, 2008 g.), RITs BashGU, Ufa, 2008, 187;

Presentations in Math-Net.Ru

1.	Classification of integrable two-dimensional lattices M. N. Kuznetsova Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021 July 9, 2021 15:00

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Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa

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