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Balakhnev, Maxim Yur'evich
Statistics Math-Net.Ru
Total publications: 11
Scientific articles: 11

Number of views:
This page:613
Abstract pages:3732
Full texts:1296
References:490
Candidate of physico-mathematical sciences (2009)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ,
Keywords: integrable evolutionary equations, Bäcklund transformations, soliton solutions, the Bianchi diagram.
UDC: 517.958, 517.957

Subject:

Integrable vector evolutionary equations, Backlund transformations.
   
Main publications:
  1. M. Yu. Balakhnev, D. K. Demskoi, “Auto-Backlund transformations and superposition formulas for solutions of Drinfeld–Sokolov systems”, Applied Mathematics and Computation, 219:8 (2012), 3625  crossref

https://www.mathnet.ru/eng/person20414
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2023
1. M. Yu. Balakhnev, “Results of symmetry classification of 2-field third-order evolutionary systems with a constant separant”, Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023),  596–613  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 63:4 (2023), 564–581
2022
2. A. G. Meshkov, M. Yu. Balakhnev, “On a Class of Integrable Evolution Vector Equations of 3rd Order”, Mat. Zametki, 112:1 (2022),  88–94  mathnet  mathscinet; Math. Notes, 112:1 (2022), 93–99  scopus
2015
3. M. Yu. Balakhnev, “Differential Substitutions for Vectorial Generalizations of the mKdV Equation”, Mat. Zametki, 98:2 (2015),  173–179  mathnet  mathscinet  elib; Math. Notes, 98:2 (2015), 204–209  isi  scopus 1
2013
4. M. Yu. Balakhnev, “Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order”, Mat. Zametki, 94:3 (2013),  323–330  mathnet  mathscinet  zmath  elib; Math. Notes, 94:3 (2013), 307–313  isi  elib  scopus 2
2011
5. M. Yu. Balakhnev, “First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$”, Mat. Zametki, 89:2 (2011),  178–189  mathnet  mathscinet; Math. Notes, 89:2 (2011), 184–193  isi  scopus 2
2010
6. M. Yu. Balakhnev, A. G. Meshkov, “Integrable vector evolution equations admitting zeroth-order conserved densities”, TMF, 164:2 (2010),  207–213  mathnet  zmath; Theoret. and Math. Phys., 164:2 (2010), 1002–1007  isi  scopus 2
2008
7. Anatoly G.G. Meshkov, Maxim Ju. Balakhnev, “Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions”, SIGMA, 4 (2008), 018, 29 pp.  mathnet  mathscinet  zmath  isi  scopus 10
8. M. Yu. Balakhnev, “Superposition formulas for integrable vector evolution equations”, TMF, 154:2 (2008),  261–267  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 154:2 (2008), 220–226  isi  scopus 5
2007
9. M. Yu. Balakhnev, “Superposition Formulas for Vector Generalizations of the mKdV Equation”, Mat. Zametki, 82:4 (2007),  501–503  mathnet  mathscinet  zmath  elib; Math. Notes, 82:4 (2007), 448–450  isi  scopus 6
2005
10. Anatoly G. Meshkov, Maxim Ju. Balakhnev, “Integrable Anisotropic Evolution Equations on a Sphere”, SIGMA, 1 (2005), 027, 11 pp.  mathnet  mathscinet  zmath  isi 12
11. M. Yu. Balakhnev, “A class of integrable evolutionary vector equations”, TMF, 142:1 (2005),  13–20  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 142:1 (2005), 8–14  isi 18

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