Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Tsarev, Sergey Petrovich
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 26.12.1959
E-mail:
Keywords: geometriy, differential equations, computer algebra.
UDC: 519.6, 517.927.71, 517.912, 517.936, 517.95, 517.91, 514.763.85, 517.955
MSC: 08A70, 65L80, 70H06, 37K10

Subject:

Geometric methods of integration of differential equations, computer algebra.
   
Main publications:
  1. S. P. Tsarev, “Generalized Laplace transformations and integration of hyperbolic systems of linear partial differential equations”, Proceedings of 2005 International Symposium on Symbolic and Algebraic Computation (Beijing, July 2005), ACM Press, NY, 2005, 325–331  mathscinet
  2. S. P. Tsarev, “The geometry of hamiltonian systems of hydrodynamic type. The generalized hodograph method”, Mathematics of the USSR-Izvestiya, 37:2 (1990), 397–419  crossref  mathscinet  zmath
  3. S. P. Tsarev, “Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations”, Theoretical and Mathematical Physics, 122:1 (2000), 121–133  crossref  mathscinet  zmath
  4. E. V. Ferapontov , K. R. Khusnutdinova, S. P. Tsarev, “On a Class of Three-Dimensional Integrable Lagrangians”, Communications in Mathematical Physics, 261:1 (2006), 225–243  crossref  mathscinet  zmath  adsnasa
  5. I. A. Taimanov, S. P. Tsarev, “Two-dimensional Schrodinger operators with fast decaying potential and multidimensional $L_2$-kernel”, Russian Mathematical Surveys, 62:3 (2008) (to appear)

https://www.mathnet.ru/eng/person17665
List of publications on Google Scholar
https://zbmath.org/authors/ai:tsarev.sergey-petrovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/215012

Publications in Math-Net.Ru Citations
2018
1. Sergey P. Tsarev, Valery V. Denisenko, Marat M. Valikhanov, “Multidimensional free interpolation framework for high-precision modeling of slant total electron contents in mid-latitude and equatorial regions”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018),  781–791  mathnet  isi
2017
2. S. P. Tsarev, V. A. Stepanenko, “On weakly commutative triples of partial differential operators”, Sib. Èlektron. Mat. Izv., 14 (2017),  1050–1063  mathnet
2014
3. R. G. Novikov, I. A. Taimanov, S. P. Tsarev, “Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue”, Funktsional. Anal. i Prilozhen., 48:4 (2014),  74–77  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 48:4 (2014), 295–297  isi  scopus 7
2013
4. I. A. Taimanov, S. P. Tsarev, “Faddeev eigenfunctions for two-dimensional Schrödinger operators via the Moutard transformation”, TMF, 176:3 (2013),  408–416  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 176:3 (2013), 1176–1183  isi  elib  scopus 4
2010
5. I. A. Taimanov, S. P. Tsarev, “On the Moutard transformation and its applications to spectral theory and soliton equations”, CMFD, 35 (2010),  101–117  mathnet  mathscinet; Journal of Mathematical Sciences, 170:3 (2010), 371–387  scopus 19
2009
6. S. P. Tsarev, E. S. Shemyakova, “Differential Transformations of Parabolic Second-Order Operators in the Plane”, Trudy Mat. Inst. Steklova, 266 (2009),  227–236  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 266 (2009), 219–227  isi  elib  scopus 10
2008
7. I. A. Taimanov, S. P. Tsarev, “Two-dimensional rational solitons and their blowup via the Moutard transformation”, TMF, 157:2 (2008),  188–207  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 157:2 (2008), 1525–1541  isi  elib  scopus 31
2007
8. I. A. Taimanov, S. P. Tsarev, “Two-dimensional Schrödinger operators with fast decaying potential and multidimensional $L_2$-kernel”, Uspekhi Mat. Nauk, 62:3(375) (2007),  217–218  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:3 (2007), 631–633  isi  elib  scopus 17
2003
9. 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
2000
10. S. P. Tsarev, “Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations”, TMF, 122:1 (2000),  144–160  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 122:1 (2000), 121–133  isi 42
1999
11. S. P. Tsarev, “On Darboux-Integrable Nonlinear Partial Differential Equations”, Trudy Mat. Inst. Steklova, 225 (1999),  389–399  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 225 (1999), 372–381 9
1996
12. E. I. Ganzha, S. P. Tsarev, “An algebraic formula for superposition and the completeness of the Bäcklund transformations of $(2+1)$-dimensional integrable systems”, Uspekhi Mat. Nauk, 51:6(312) (1996),  197–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:6 (1996), 1200–1202  isi  scopus 20
1991
13. E. V. Ferapontov, S. P. Tsarev, “Systems of hydrodynamic type, arising in gas chromatography. Riemann invariants and exact solutions”, Matem. Mod., 3:2 (1991),  82–91  mathnet  mathscinet 8
14. 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
1990
15. S. P. Tsarev, “The geometry of Hamiltonian systems of hydrodynamic type. The generalized hodograph method”, Izv. Akad. Nauk SSSR Ser. Mat., 54:5 (1990),  1048–1068  mathnet  mathscinet  zmath; Math. USSR-Izv., 37:2 (1991), 397–419 265
1989
16. S. P. Tsarev, “The Hamilton property of stationary and inverse equations of condensed matter mechanics and mathematical physics”, Mat. Zametki, 46:1 (1989),  105–111  mathnet  mathscinet  zmath; Math. Notes, 46:1 (1989), 569–573  isi 10
1985
17. S. P. Tsarev, “Poisson brackets and one-dimensional Hamiltonian systems of hydrodynamic type”, Dokl. Akad. Nauk SSSR, 282:3 (1985),  534–537  mathnet  mathscinet  zmath 55
1984
18. S. P. Tsarev, “On the Liouville Poisson brackets and one-dimensional Hamiltonian systems of hydrodynamic type arising in the Bogolyubov–Whitham averaging theory”, Uspekhi Mat. Nauk, 39:6(240) (1984),  209–210  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:6 (1984), 227–228  isi 4
1982
19. S. P. Tsarev, “Which 2-forms are locally, curvature forms?”, Funktsional. Anal. i Prilozhen., 16:3 (1982),  90–91  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:3 (1982), 235–237  isi 2

Presentations in Math-Net.Ru
1. One day workshop in honor of Maxim Pavlov's 60th birthday.
Hydrodynamic type systems and beyond: a long way towards integrability with Maxim Pavlov
S. P. Tsarev
Cohomological geometry of differential equations
December 14, 2022 17:00   
2. Методы sparse recovery для обнаружения скачков в фазовых измерениях навигационных приемников
S. P. Tsarev

November 8, 2022 18:00
3. Концепция свободной интерполяции для больших данных: как простой формулой увеличить точность ответа в сто раз
S. P. Tsarev
December readings in Tomsk
December 13, 2018 10:40   
4. Коммутирующие элементы в теле Оре отношений линейных обыкновенных дифференциальных операторов
S. P. Tsarev

December 21, 2017 12:10   
5. Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation
S. P. Tsarev, I. A. Taimanov
International Workshop «Geometric Structures in Integrable Systems»
November 1, 2012 10:00
6. Factorization in categories of systems of linear partial differential equations
S. P. Tsarev
International conference "Geometrical Methods in Mathematical Physics"
December 14, 2011 11:50   
7. Обобщенные проебразования Лапласа и интегрирование линейных гиперболических уравнений в частных производных
S. P. Tsarev
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
March 23, 2005

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024