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Mikhail Yu. Trofimov

Observed names: M. Yu Trofimov, M. Yu. Trofimov, M.Yu. Trofimov, Mikhail Trofimov, Mikhail Y. Trofimov, Mikhail Yu. Troflmov, Trofimov, M. Yu., М.Ю. Трофимов
ORCID: 0000-0002-6958-5428
Observed ORCID: 0000-0002-6958-5428
OpenAlex ID: A5103595798
A mode parabolic equation method in the case of the resonant mode interaction
2015 · M.Yu. Trofimov, S.B. Kozitskiy, et al. · Wave Motion · 42
Narrow-Angle Parabolic Equations of Adiabatic Single-Mode Propagation in a Horizontally Inhomogeneous Shallow Sea
1999 · M. Yu. Trofimov · Acoustical Physics · 25
A direct multiple-scale approach to the parabolic equation method
2012 · M.Yu. Trofimov, P.S. Petrov, et al. · Wave Motion · 13
The wave equation with viscoelastic attenuation and its application in problems of shallow-sea acoustics
2012 · P. S. Petrov, A. D. Zakharenko, et al. · Acoustical Physics · 13
Modal Perturbation Theory in the Case of Bathymetry Variations in Shallow-Water Acoustics
2021 · P. S. Petrov, M. Yu. Trofimov, et al. · Russian Journal of Mathematical Physics · 11
Wide-Angle Mode Adiabatic Parabolic Equations
2002 · M. Yu. Trofimov · Acoustical Physics · 11
Mode Gaussian beam tracing
2016 · M.Yu. Trofimov, A.D. Zakharenko, et al. · Computer Physics Communications · 10
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Mode parabolic equations for the modeling of sound propagation in 3D-varying shallow water waveguides
2012 · Pavel S. Petrov, Mikhail Yu. Trofimov, et al. · Days on Diffraction · 10
Formal Derivations of Mode Coupling Equations in Underwater Acoustics: How the Method of Multiple Scales Results in an Expansion over Eigenfunctions and the Vectorized WKBJ Solution for the Amplitudes
2023 · Mikhail Trofimov, Sergey Kozitskiy, et al. · Journal of Marine Science and Engineering · 9
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Improving the Performance of Mode-Based Sound Propagation Models by Using Perturbation Formulae for Eigenvalues and Eigenfunctions
2021 · Alena Zakharenko, Mikhail Trofimov, et al. · Journal of Marine Science and Engineering · 5
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On decomposition of the fundamental solution of the Helmholtz equation over solutions of iterative parabolic equations
2021 · Pavel S. Petrov, Matthias Ehrhardt, et al. · Asymptotic Analysis · 4
Simulation of the pulse propagation by the interacting mode parabolic equation method
2018 · M.Yu. Trofimov, S.B. Kozitskiy, et al. · Computer Physics Communications · 3
Weak shear modulus in the acoustic mode parabolic equation
2016 · Mikhail Yu. Trofimov, Sergey B. Kozitskiy, et al. · Days on Diffraction · 3
A nonstationary form of the range refraction parabolic equation and its application as an artificial boundary condition for the wave equation in a waveguide
2009 · P. S. Petrov, M. Yu. Trofimov · Europhysics Letters (EPL) · 3
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Time-dependent parabolic equations for two-dimensional acoustic waveguides
2000 · M. Yu. Trofimov · Technical Physics Letters · 3
Modeling of structures in 3D double-diffusive convection
2014 · Sergey B. Kozitskiy, Mikhail Yu. Trofimov, et al. · Days on Diffraction · 2
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media
2022 · Sergey B. Kozitskiy, Mikhail Yu. Trofimov, et al. · Communications in Nonlinear Science and Numerical Simulation · 1
A ray mode parabolic equation, and examples of its application in shallow water acoustics propagation problems
2015 · Mikhail Yu. Trofimov, Sergey B. Kozitskiy, et al. · Proceedings of meetings on acoustics · 1
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An elastic mode parabolic equation in the case of weak shear modulus
2015 · Mikhail Y. Trofimov, Sergey B. Kozitskiy, et al. · Proceedings of meetings on acoustics · 1
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On the interface and boundary conditions in the parabolic equation method
2007 · M. Yu Trofimov · Europhysics Letters (EPL) · 1
Calculation of the Eigenfunctions and Eigenvalues of Acoustic Modes in a Layered Medium with a Horizontal Current
2000 · M. Yu. Trofimov · Acoustical Physics · 1
Underwater sound signal fluctuations caused by internal waves
1994 · N. G. Borisov, А. В. Гриценко, et al. · Acoustical Physics · 1
Mikhail Nikolaevich Apletaev as an Example of the Unity of the Citizen, Professional, and Scientist in the Formation of Teacher-Researchers
2026 · Mikhail Yu. Trofimov, Stepan G. Chukhin, et al. · Review of Omsk State Pedagogical University Humanitarian research
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Итеративные широкоугольные параболические аппроксимации
2022 · А.Д. Захаренко, М.Ю. Трофимов, et al.
On perturbation of acoustic modes by inhomogeneities of the bathymetry in a shallow sea
2020 · А.Д. Захаренко, П.С. Петров, et al. · Podvodnye issledovaniia i robototehnika
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Works count: 41
Citation count: 173
H-index: 9
I10-index: 8
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