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Pavlov, Maxim Valentinovich
Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 37
Presentations: 30

Number of views:
This page:2783
Abstract pages:15515
Full texts:6405
References:1921
Candidate of physico-mathematical sciences (1992)
Speciality: 01.04.02 (Theoretical physics)
E-mail: , , ,
Website: https://lebedev.ru/ru/people/alphabet.html?view=person&id=3269

https://www.mathnet.ru/eng/person13060
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/248284
https://elibrary.ru/author_items.asp?authorid=4574
https://www.webofscience.com/wos/author/record/P-1404-2015

Publications in Math-Net.Ru Citations
2024
1. M. V. Pavlov, “Compatible Pairs of Dubrovin–Novikov Poisson Brackets and Lagrangian Representations of Integrable Hierarchies”, Trudy Mat. Inst. Steklova, 325 (2024),  238–243  mathnet; Proc. Steklov Inst. Math., 325 (2024), 224–229
2020
2. V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev, G. P. Boyadjiev, A. O. Smirnov, V. B. Matveev, M. V. Pavlov, “Recursion operators and hierarchies of $\text{mKdV}$ equations related to the Kac–Moody algebras $D_4^{(1)}$, $D_4^{(2)}$, and $D_4^{(3)}$”, TMF, 204:3 (2020),  332–354  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:3 (2020), 1110–1129  isi  scopus 5
3. A. M. Kamchatnov, M. V. Pavlov, “Two-photon propagation of light and the modified Liouville equation”, TMF, 204:2 (2020),  297–304  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:2 (2020), 1093–1099  isi  scopus
2018
4. Maxim V. Pavlov, “Integrability of exceptional hydrodynamic-type systems”, Trudy Mat. Inst. Steklova, 302 (2018),  343–353  mathnet  elib; Proc. Steklov Inst. Math., 302 (2018), 325–335  isi  scopus 7
2014
5. M. V. Pavlov, D. V. Prokhorov, A. Yu. Vasiliev, A. M. Zaharov, “Löwner evolution and finite-dimensional reductions of integrable systems”, TMF, 181:1 (2014),  155–172  mathnet  mathscinet  elib; Theoret. and Math. Phys., 181:1 (2014), 1263–1278  isi  elib  scopus 3
2012
6. M. V. Pavlov, V. B. Taranov, G. A. El, “Generalized hydrodynamic reductions of the kinetic equation for a soliton gas”, TMF, 171:2 (2012),  294–302  mathnet  mathscinet  elib; Theoret. and Math. Phys., 171:2 (2012), 675–682  isi  elib  scopus 8
2011
7. B. A. Dubrovin, S. A. Zykov, M. V. Pavlov, “Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations”, Funktsional. Anal. i Prilozhen., 45:4 (2011),  49–64  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 45:4 (2011), 278–290  isi  elib  scopus 1
2010
8. Jołanta Golenia, Maxim V. Pavlov, Ziemowit Popowicz, Anatoliy K. Prykarpatsky, “On a Nonlocal Ostrovsky–Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability”, SIGMA, 6 (2010), 002, 13 pp.  mathnet  mathscinet  isi  scopus 21
2009
9. Maxim V. Pavlov, Ziemowit Popowicz, “On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems”, SIGMA, 5 (2009), 011, 10 pp.  mathnet  mathscinet  zmath  isi  scopus 5
2008
10. A. V. Odesskii, M. V. Pavlov, V. V. Sokolov, “Classification of integrable Vlasov-type equations”, TMF, 154:2 (2008),  249–260  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 154:2 (2008), 209–219  isi  elib  scopus 10
2007
11. M. V. Pavlov, “Integrability of the Egorov systems of hydrodynamic type”, TMF, 150:2 (2007),  263–285  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:2 (2007), 225–243  isi  elib  scopus 10
2006
12. M. V. Pavlov, “Transformations of integrable hydrodynamic chains and their hydrodynamic reductions”, Fundam. Prikl. Mat., 12:7 (2006),  167–175  mathnet  mathscinet  zmath  elib; J. Math. Sci., 151:4 (2008), 3185–3191  elib  scopus 1
2005
13. E. V. Ferapontov, K. R. Khusnutdinova, M. V. Pavlov, “Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies”, TMF, 144:1 (2005),  35–43  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 144:1 (2005), 907–915  isi  elib 17
14. M. V. Pavlov, “The description of pairs of compatible first-order differential geometric poisson brackets”, TMF, 142:2 (2005),  293–309  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 142:2 (2005), 244–258  isi 1
2004
15. M. V. Pavlov, “The Boussinesq equation and Miura type transformations”, Fundam. Prikl. Mat., 10:1 (2004),  175–182  mathnet  mathscinet  zmath; J. Math. Sci., 136:6 (2006), 4478–4483  scopus 6
16. M. V. Pavlov, “Classifying Integrable Egoroff Hydrodynamic Chains”, TMF, 138:1 (2004),  55–70  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 138:1 (2004), 45–58  isi 35
2003
17. Valerii Driuma, Maxim Pavlov, “On initial value problem in theory of the second order differential equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2,  51–58  mathnet  mathscinet  zmath
18. V. M. Buchstaber, D. V. Leikin, M. V. Pavlov, “Egorov Hydrodynamic Chains, the Chazy Equation, and $SL(2,\mathbb{C})$”, Funktsional. Anal. i Prilozhen., 37:4 (2003),  13–26  mathnet  mathscinet  zmath; Funct. Anal. Appl., 37:4 (2003), 251–262  isi  scopus 11
19. M. V. Pavlov, S. P. Tsarev, “Tri-Hamiltonian Structures of Egorov Systems of Hydrodynamic Type”, Funktsional. Anal. i Prilozhen., 37:1 (2003),  38–54  mathnet  mathscinet  zmath; Funct. Anal. Appl., 37:1 (2003), 32–45  isi  scopus 34
20. M. V. Pavlov, “New integrable $(2+1)$-equations of hydrodynamic type”, Uspekhi Mat. Nauk, 58:2(350) (2003),  171–172  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:2 (2003), 386–387  isi  scopus 5
2002
21. A. B. Borisov, S. A. Zykov, M. V. Pavlov, “Tzitzéica Equation and Proliferation of Nonlinear Integrable Equations”, TMF, 131:1 (2002),  126–134  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 131:1 (2002), 550–557  isi 14
2001
22. M. V. Pavlov, “The Calogero Equation and Liouville-Type Equations”, TMF, 128:1 (2001),  109–115  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 128:1 (2001), 927–932  isi 21
1996
23. M. V. Pavlov, S. I. Svinolupov, R. A. Sharipov, “Invariant Integrability Criterion for Equations of Hydrodynamic Type”, Funktsional. Anal. i Prilozhen., 30:1 (1996),  18–29  mathnet  mathscinet  zmath; Funct. Anal. Appl., 30:1 (1996), 15–22  isi 17
1995
24. A. Ya. Maltsev, M. V. Pavlov, “On Whitham's Averaging Method”, Funktsional. Anal. i Prilozhen., 29:1 (1995),  7–24  mathnet  mathscinet  zmath; Funct. Anal. Appl., 29:1 (1995), 6–19  isi 9
25. M. V. Pavlov, “Conservation of the ‘forms’ of Hamiltonian structures upon linear substitution for independent variables”, Mat. Zametki, 57:5 (1995),  704–711  mathnet  mathscinet  zmath  elib; Math. Notes, 57:5 (1995), 489–495  isi 14
26. M. V. Pavlov, “Hamiltonian formalism of multidimensional systems of hydrodynamic type having non-degenerate Lagrangian structure”, Uspekhi Mat. Nauk, 50:3(303) (1995),  163–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:3 (1995), 633–634  isi
1994
27. M. V. Pavlov, “Exact integrability of a system of Benney equations”, Dokl. Akad. Nauk, 339:3 (1994),  311–313  mathnet  mathscinet  zmath; Dokl. Math., 39:11 (1994), 745–747 1
28. M. V. Pavlov, “Dual Lagrangian representation of the KdV equation and the general solution of the Whitham equations”, Dokl. Akad. Nauk, 339:2 (1994),  157–161  mathnet  mathscinet  zmath; Dokl. Math., 50:3 (1995), 400–406 2
29. M. V. Pavlov, “Elliptic coordinates and multi-Hamiltonian structures of hydrodynamic-type systems”, Dokl. Akad. Nauk, 339:1 (1994),  21–23  mathnet  mathscinet  zmath; Dokl. Math., 50:3 (1995), 374–377 6
30. M. V. Pavlov, “Whitham's averaging method and the Korteweg–de Vries hierarchy”, Dokl. Akad. Nauk, 338:3 (1994),  317–319  mathnet  mathscinet  zmath; Dokl. Math., 39:9 (1994), 615–617 1
31. M. V. Pavlov, “Multi-Hamiltonian structures of the Whitham equations”, Dokl. Akad. Nauk, 338:2 (1994),  165–167  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 220–223 4
32. M. V. Pavlov, “Local Hamiltonian structures of Benney's system”, Dokl. Akad. Nauk, 338:1 (1994),  33–34  mathnet  mathscinet  zmath; Dokl. Math., 39:9 (1994), 607–608 2
33. M. V. Pavlov, “The Hamiltonian structure of the Whitham equations”, Uspekhi Mat. Nauk, 49:1(295) (1994),  219–220  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:1 (1994), 241–242  isi 2
1993
34. M. V. Pavlov, “Discrete symmetry and local Hamiltonian structures of systems of hydrodynamical type”, Uspekhi Mat. Nauk, 48:6(294) (1993),  167–168  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:6 (1993), 178–180  isi
1991
35. M. V. Pavlov, S. P. Tsarev, “On conservation laws of Benney equations”, Uspekhi Mat. Nauk, 46:4(280) (1991),  169–170  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:4 (1991), 196–197 10
1987
36. M. V. Pavlov, “Hamiltonian formalism of weakly nonlinear hydrodynamic systems”, TMF, 73:2 (1987),  316–320  mathnet  zmath; Theoret. and Math. Phys., 73:2 (1987), 1242–1245  isi 20
37. M. V. Pavlov, “Nonlinear Schrödinger equation and the bogolyubov-whitham method of averaging”, TMF, 71:3 (1987),  351–356  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 71:3 (1987), 584–588  isi 74

Presentations in Math-Net.Ru
1. Триады Лакса, конечно-зонное интегрирование и псевдо-дифференциальные операторы
M. V. Pavlov
Conference "50 years of finite-gap integration"
September 18, 2024 15:00   
2. Two-parametric families of Riemann surfaces and their degenerations
M. V. Pavlov
Constructive Methods of the Theory of Riemann Surfaces and Applications
November 14, 2023 17:30   
3. Dubrovin paradigm and beyond
M. V. Pavlov
Cohomological geometry of differential equations
October 18, 2023 19:20   
4. Эллиптические ортогональные системы координат и разделение переменных в операторе Лапласа
M. V. Pavlov
Conference “Geometry, topology and mathematical physics” on the occasion of the 85th anniversary of S.P. Novikov and the 80th anniversary of V.M. Buchstaber
April 12, 2023 14:30   
5. Трёхмерные уравнения Кадомцева-Петвиашвили и В.Г.Михалёва. Их двумерные дисперсионные редукции.
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
February 8, 2023 14:00
6. Блок-диагональные системы гидродинамического типа, интегрируемые методом обобщённого годографа Царёва
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
May 11, 2022 14:00   
7. Блок-диагональные системы гидродинамического типа, интегрируемые методом обобщённого годографа Царёва
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
January 19, 2022 14:00   
8. Nondiagonalizable Hydrodynamic Type Systems Integrable by Tsarev's Generalised Hodograph Method
M. V. Pavlov
Russian-Chinese Conference «Integrable Systems and Geometry»
December 21, 2021 11:00   
9. New Hamiltonian formalism for semi-hamiltonian systems of hydrodynamic type
M. V. Pavlov
International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin
November 19, 2021 16:20   
10. New variational principles for one-dimensional gas dynamics and for Egorov hydrodynamic type systems
M. V. Pavlov
Cohomological geometry of differential equations
March 10, 2021 19:20   
11. Bi-Hamiltonian hydrodynamic type systems and their local Lagrangian representations
M. V. Pavlov
Cohomological geometry of differential equations
December 18, 2019 19:20
12. Bi-Hamiltonian systems of hydrodynamic type
M. V. Pavlov
Cohomological geometry of differential equations
November 6, 2019 19:20
13. A new class of integrable systems of equations and their special solutions
M. V. Pavlov
Cohomological geometry of differential equations
March 13, 2019 19:20
14. A new class of exact solutions for three-dimensional quasilinear systems of first order
M. V. Pavlov
Dynamics in Siberia - 2019
February 26, 2019 13:05
15. Two-dimensional reductions of the Hirota-Ohta System
M. V. Pavlov
Cohomological geometry of differential equations
December 12, 2018 19:20
16. The generalized hodograph method and its applications
M. V. Pavlov
Cohomological geometry of differential equations
November 7, 2018 19:20
17. Система Бенни. Интегрируемые дисперсионные расширения
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 29, 2018 14:00
18. Трехмерные и двумерные слабо-нелинейные интегрируемые уравнения
M. V. Pavlov
Seminar of the Department of Mechanics
April 10, 2017 12:00
19. Multi-Dimensional Conservation Laws and Integrable Systems
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 5, 2017 18:30
20. Интегрируемые системы типа "Калоджеро Голд Фиш"
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
March 16, 2016 18:30
21. Двумерные интегрируемые дисперсионные системы и многомерные квазилинейные уравнения
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
September 16, 2015 18:30
22. "Естественные" гидродинамические редукции уравнения Лин-Рейснер-Циен
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 27, 2014 14:00
23. Бигамильтонова структура кинетического уравнения Власова
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
May 7, 2014 18:30
24. Benney hydrodynamic chain
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
December 25, 2013 14:00
25. Механические системы с полутора степенями свободы и кинетическое уравнение Власова
M. V. Pavlov
Hamiltonian systems and statistical mechanics
September 30, 2013
26. Классические механические системы с полутора степенями свободы и кинетическое уравнение Власова
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
June 13, 2013 15:00
27. Classification of integrable conservative hydrodynamic chains. II
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
December 9, 2009 18:30
28. Classification of integrable conservative hydrodynamic chains. I
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
November 25, 2009 18:30
29. Классификация интегрируемых гидродинамических цепочек, связанных с деформированной скобкой Пуассона–Купершмидта
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
November 22, 2006
30. Уравнение Шази и системы Уизема
M. V. Pavlov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
November 2, 2005

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