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Chirkunov, Yurii Aleksandrovich
Statistics Math-Net.Ru
Total publications: 18
Scientific articles: 18

Number of views:
This page:1593
Abstract pages:4260
Full texts:1383
References:570
Associate professor
Doctor of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: Symmetries of differential equations of mathematical physics, group analysis of differential equations, conservation laws, theory of elasticity, gas dynamics, models and submodels, hydrodynamics, nonscattering acoustic objects in an anisotropic medium.

Subject:

Group analysis of differential equations, mathematical physics, mechanics, models and submodels.
   
Main publications:
  1. Chirkunov Yu. A., “On the Symmetry Classification and Conservation Laws for Quasilinear Differential Equations of Second Order”, Mathematical Notes, 87:1 (2010), 122–129
  2. Chirkunov Yu.A., “Friedrichs Systems Equivalent to the Systems of Wave Equations”, Journal of Applied and Industrial Mathematics, 6:2 (2012), 150–159
  3. Chirkunov Yu.A., “Generalized Equivalence Transformations and Group Classification of Systems of Differential Equations”, Journal of Applied Mechanics and Technical Physics, 53:2 (2012), 147–155
  4. Romanov V.G., Chirkunov Yu. A., “Nonscattering acoustic objects in an anisotropic medium of special kind”, Doklady Mathematics, 87:1 (2013), 73–75
  5. Chirkunov Yu.A. and Medvedev S.B., “Conservation laws for plane steady potential barotropic flow”, European Jounal of Applied Mathematics, 24:06 (2013), 789–801

https://www.mathnet.ru/eng/person37625
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Publications in Math-Net.Ru Citations
2019
1. Yu. A. Chirkunov, “Invariant submodels of the generalized Leith model of wave turbulence in a medium with nonstatitionary viscosity”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  180–189  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:2 (2019), 342–349
2014
2. Yu. A. Chirkunov, S. Yu. Dobrokhotov, S. B. Medvedev, D. S. Minenkov, “Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms”, TMF, 178:3 (2014),  322–345  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 178:3 (2014), 278–298  isi  scopus 16
2012
3. Yu. A. Chirkunov, “Generalized equivalence transformations and group classification of systems of differential equations”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012),  3–13  mathnet  elib; J. Appl. Mech. Tech. Phys., 53:2 (2012), 147–155 32
4. N. F. Belmetsev, Yu. A. Chirkunov, “Exact solutions to the equations of the dynamic asymmetric model of elasticity”, Sib. Zh. Ind. Mat., 15:4 (2012),  38–50  mathnet  mathscinet; J. Appl. Industr. Math., 7:1 (2013), 41–53 3
2011
5. Yu. A. Chirkunov, “Friedrichs systems equivalent to the systems of wave equations”, Sib. Zh. Ind. Mat., 14:3 (2011),  132–142  mathnet  mathscinet; J. Appl. Industr. Math., 6:2 (2012), 150–159
6. Yu. A. Chirkunov, “Systems of linear differential equations with non-$x$-autonomous basic Lie algebra”, Sib. Zh. Ind. Mat., 14:2 (2011),  112–123  mathnet  mathscinet; J. Appl. Industr. Math., 6:1 (2012), 31–41 3
2010
7. Yu. A. Chirkunov, “On the Symmetry Classification and Conservation Laws for Quasilinear Differential Equations of Second Order”, Mat. Zametki, 87:1 (2010),  122–129  mathnet  mathscinet  zmath; Math. Notes, 87:1 (2010), 115–121  isi  scopus 3
8. Yu. A. Chirkunov, “Friedrichs systems for systems of wave equations and shear waves in a three-dimensional elastic medium”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010),  121–132  mathnet  elib; J. Appl. Mech. Tech. Phys., 51:6 (2010), 877–886
9. Yu. A. Chirkunov, “Conservation laws and group properties of equations of isentropic gas motion”, Prikl. Mekh. Tekh. Fiz., 51:1 (2010),  3–6  mathnet  elib; J. Appl. Mech. Tech. Phys., 51:1 (2010), 1–3 12
10. Yu. A. Chirkunov, “Steady oscillations in a continuously inhomogeneous medium described by the Ovsyannikov equation”, Sib. Zh. Ind. Mat., 13:4 (2010),  131–140  mathnet  mathscinet; J. Appl. Industr. Math., 5:3 (2011), 313–321 2
11. Yu. A. Chirkunov, “Steady-state oscillations in continuously inhomogeneous medium described by a generalized Darboux equation”, Sib. Zh. Ind. Mat., 13:1 (2010),  140–149  mathnet  mathscinet; J. Appl. Industr. Math., 4:4 (2010), 496–504 3
12. Yu. A. Chirkunov, “On the Nonlinear Operators Having Jacoby Matrix Commuting with a Ring of the Constant Matrix”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:1 (2010),  108–118  mathnet; J. Math. Sci., 186:3 (2012), 379–386 1
2009
13. Yu. A. Chirkunov, “On group properties and conservation laws for second-order quasi-linear differential equations”, Prikl. Mekh. Tekh. Fiz., 50:3 (2009),  64–70  mathnet  elib; J. Appl. Mech. Tech. Phys., 50:3 (2009), 413–418 7
14. Yu. A. Chirkunov, “Method of $\mathrm{A}$-operators and conservation laws for the equations of gas dynamics”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009),  53–60  mathnet  elib; J. Appl. Mech. Tech. Phys., 50:2 (2009), 213–219 8
15. Yu. A. Chirkunov, “Systems of linear differential equations symmetric with respect to transformations nonlinear in a function”, Sibirsk. Mat. Zh., 50:3 (2009),  680–686  mathnet  mathscinet; Siberian Math. J., 50:3 (2009), 541–546  isi  scopus 11
1990
16. Yu. A. Chirkunov, “Group classification of systems of first-order linear differential equations with two unknown functions in two variables”, Dokl. Akad. Nauk SSSR, 314:1 (1990),  155–159  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 404–408 1
1988
17. V. Yu. Prudnikov, Yu. A. Chirkunov, “Group properties of equations in classical elasticity theory”, Dokl. Akad. Nauk SSSR, 302:6 (1988),  1353–1356  mathnet  mathscinet  zmath; Dokl. Math., 33:10 (1988), 733–735

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