| Finite-zone almost periodic solutions in WKB-approximations SY Dobrokhotov, VP Maslov Itogi Nauki i Tekhniki. Seriya" Sovremennye Problemy Matematiki. Noveishie …, 1980 | 125 | 1980 |
| Operator separation of variables for adiabatic problems in quantum and wave mechanics VV Belov, SY Dobrokhotov, TY Tudorovskiy Journal of Engineering Mathematics 55, 183-237, 2006 | 122 | 2006 |
| Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations SY Dobrokhotov, AI Shafarevich, B Tirozzi Russian journal of mathematical physics 15 (2), 192-221, 2008 | 118 | 2008 |
| Semiclassical Maslov asymptotics with complex phases. I. General approach VV Belov, SY Dobrokhotov Theoretical and Mathematical Physics 92 (2), 843-868, 1992 | 88 | 1992 |
| Multi-phase solutions of the Benjamin-Ono equation and their averaging SY Dobrokhotov, IM Krichever Mathematical notes of the Academy of Sciences of the USSR 49, 583-594, 1991 | 69 | 1991 |
| Multiphase asymptotics of nonlinear partial differential equations with a small parameter SY Dobrokhotov, VP Maslov Sov. Sci. Rev.: Math. Phys 3, 221-280, 1982 | 66 | 1982 |
| Asymptotic expansions and the Maslov canonical operator in the linear theory of water waves. I. Main constructions and equations for surface gravity waves SY Dobrokhotov, PN Zhevandrov Russian Journal of Mathematical Physics 10 (1), 1-31, 2003 | 61 | 2003 |
| Explicit asymptotics for tsunami waves in framework of the piston model SY Dobrokhotov, SY Sekerzh-Zenkovich, B Tirozzi, B Volkov Russian Journal of Earth Sciences 8 (4), 1-12, 2006 | 55 | 2006 |
| Localized solutions of one-dimensional non-linear shallow-water equations with velocity c=√ x SY Dobrokhotov, B Tirozzi Russ. Math. Surv 65 (1), 177-179, 2010 | 50 | 2010 |
| New integral representations of the Maslov canonical operator in singular charts SY Dobrokhotov, VE Nazaikinskii, AI Shafarevich Izvestiya. Mathematics 81 (2), 286-328, 2017 | 49 | 2017 |
| Asymptotic solutions of the linear shallow-water equations with localized initial data SY Dobrokhotov, RV Nekrasov, B Tirozzi Journal of Engineering Mathematics 69 (2), 225-242, 2011 | 49 | 2011 |
| Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity: I SY Dobrokhotov, VE Nazaikinskii, B Tirozzi Russian Journal of Mathematical Physics 17 (4), 434, 2010 | 49 | 2010 |
| Description of tsunami propagation based on the Maslov canonical operator SY Dobrokhotov, SY Sekerzh-Zenkovich, B Tirozzi, TY Tudorovskii Doklady Mathematics 74, 592-596, 2006 | 47 | 2006 |
| The Spectral Asymptotics of the Two-Dimensional Schr\" odinger operator with a Strong Magnetic Field J Bruening, S Dobrokhotov, K Pankrashkin arXiv preprint math-ph/0411012, 2004 | 46 | 2004 |
| Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data SY Dobrokhotov, VE Nazaikinskii, B Tirozzi Russian Journal of Mathematical Physics 20, 389-401, 2013 | 44 | 2013 |
| Representations of rapidly decaying functions by the Maslov canonical operator. S Dobrokhotov, B Tirozzi, A Shafarevich Mathematical Notes 82, 2007 | 43 | 2007 |
| Hugoniot-Maslov Chains for Solitary Vortices of the Shallow Water Equations, I. Derivation of the Chains for the case of Variable Coriolis forces and Reduction to the Hill Equation SY Dobrokhotov Russian Journal of Mathematical Physics 6 (2), 137-173, 1999 | 43* | 1999 |
| Behavior near the focal points of asymptotic solutions to the Cauchy problem for the linearized shallow water equations with initial localized perturbations SY Dobrokhotov, B Tirozzi, CA Vargas Russian Journal of Mathematical Physics 16 (2), 228-245, 2009 | 42 | 2009 |
| Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes: I. Reduction to spatially one-dimensional equations VV Belov, SY Dobrokhotov, TY Tudorovskii Theoretical and mathematical physics 141, 1562-1592, 2004 | 42 | 2004 |
| Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems AY Anikin, SY Dobrokhotov, VE Nazaikinskii, AV Tsvetkova Theoretical and Mathematical Physics 201 (3), 1742-1770, 2019 | 39 | 2019 |
