Finite-zone almost periodic solutions in WKB-approximations SY Dobrokhotov, VP Maslov Current problems in mathematics 15, 3-94, 1980 | 125 | 1980 |

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 | 115 | 2008 |

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 | 112 | 2006 |

Semiclassical Maslov asymptotics with complex phases. I. General approach VV Belov, SY Dobrokhotov Theoretical and Mathematical Physics 92 (2), 843-868, 1992 | 87 | 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 | 67 | 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 | 65 | 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 | 58 | 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 |

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 | 54 | 2004 |

Asymptotic solutions of the linear shallow-water equations with localized initial data SY Dobrokhotov, RV Nekrasov, B Tirozzi Journal of Engineering Mathematics 69 (2-3), 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 |

Localized solutions of one-dimensional non-linear shallow-water equations with velocity SY Dobrokhotov, B Tirozzi Uspekhi Matematicheskikh Nauk 65 (1), 185-186, 2010 | 47* | 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 | 45 | 2006 |

Representations of rapidly decaying functions by the Maslov canonical operator SY Dobrokhotov, B Tirozzi, AI Shafarevich Mathematical Notes 82, 713-717, 2007 | 43 | 2007 |

New integral representations of the Maslov canonical operator in singular charts SY Dobrokhotov, VE Nazaikinskii, AI Shafarevich Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 81 (2), 53-96, 2017 | 42 | 2017 |

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 |

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 | 41 | 2013 |

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 | 41* | 1999 |

Parametrix and the asymptotics of localized solutions of the Navier-Stokes equations in R^{3}, linearized on a smooth flowSY Dobrokhotov, AI Shafarevich Mathematical Notes 51, 47-54, 1992 | 39 | 1992 |

Some integral identities and remarks on the decay at infinity of the solutions to the Navier-Stokes equations in the entire space SY Dobrokhotov, AI Shafarevich Russ. J. Math. Phys 2 (1), 133-135, 1994 | 38 | 1994 |