Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse. - Vyacheslav A. Trofimov; Abdollah Borhanifar; Alexey G. Volkov (NAA, 2004)

Comparison of Some Difference Schemes for Problem of Femtosecond Pulse Interaction with Semiconductor in the Case of Nonlinear Mobility Coefficient. - Vyacheslav A. Trofimov; Maria M. Loginova (NAA, 2004)

Soliton-Like Regime of Femtosecond Laser Pulse Propogation in Bulk Media Under the Conditions of SHG. - Vyacheslav A. Trofimov; Tatiana M. Lysak (NAA, 2004)

Computational Method for Finding of Soliton Solutions of a Nonlinear Shrödinger Equation. - Vyacheslav A. Trofimov; Svetlana A. Varentsova (NAA, 2004)

Adaptive Artificial Boundary Conditions for 2D Schrödinger Equation. - Vyacheslav A. Trofimov; Anton D. Denisov (NAA, 2012)

Conservative finite-difference scheme for the problem of laser pulse propagation in a medium with third-order dispersion. - Vyacheslav A. Trofimov; Anton D. Denisov (EWDTS, 2013)

Adaptive artificial boundary conditions for Schrödinger equation taking into account the first order dispersion of laser pulse and diffraction of laser beam. - Vyacheslav A. Trofimov; Anton D. Denisov (EWDTS, 2014)

Construction of adaptive artificial boundary conditions using the invariant ratios for Schrödinger equation. - Vyacheslav A. Trofimov; Evgeny M. Trykin (EWDTS, 2014)

Analytical solution of the FWM problem for co-propagating laser beams under phase mismatching. - Vyacheslav A. Trofimov; Igor E. Kuchik (EWDTS, 2015)

An Effective Method for Substance Detection Using the Broad Spectrum THz Signal: A "Terahertz Nose". - Vyacheslav A. Trofimov; Svetlana A. Varentsova (Sensors, 2015)

Conservative Finite-Difference Scheme for Computer Simulation of Field Optical Bistability. - Vyacheslav A. Trofimov; Maria M. Loginova; Vladimir A. Egorenkov (NAA, 2016)

Essential Limitations of the Standard THz TDS Method for Substance Detection and Identification and a Way of Overcoming Them. - Vyacheslav A. Trofimov; Svetlana A. Varentsova (Sensors, 2016)

The Anomalous Influence of Spectral Resolution on Pulsed THz Time Domain Spectroscopy under Real Conditions. - Vyacheslav A. Trofimov; Svetlana A. Varentsova (Sensors, 2017)

New Possibilities of Substance Identification Based on THz Time Domain Spectroscopy Using a Cascade Mechanism of High Energy Level Excitation. - Vyacheslav A. Trofimov; Svetlana A. Varentsova; Irina G. Zakharova; Dmitry Yu. Zagursky (Sensors, 2017)

Explicit and Conditionally Stable Combined Numerical Method for 1D and 2D Nonlinear Schrödinger Equation. - Vyacheslav A. Trofimov; Evgeny M. Trykin (FDM, 2018)

A mathematical model of optical bistability and the multiplicity of its solutions. - Vyacheslav A. Trofimov; Maria M. Loginova; Vladimir A. Egorenkov (J. Comput. Appl. Math., 2019)

Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium. - Vyacheslav A. Trofimov; Evgeny M. Trykin (J. Comput. Phys., 2019)

A Possible Way for the Detection and Identification of Dangerous Substances in Ternary Mixtures Using THz Pulsed Spectroscopy. - Vyacheslav A. Trofimov; Svetlana A. Varentsova (Sensors, 2019)

Conservative finite-difference scheme for the 2D problem of femtosecond laser pulse interaction with kink structure of high absorption in semiconductor. - Vyacheslav A. Trofimov; Maria M. Loginova; Vladimir A. Egorenkov (Int. J. Comput. Math., 2020)

Spurious Absorption Frequency Appearance Due to Frequency Conversion Processes in Pulsed THz TDS Problems. - Vyacheslav A. Trofimov; Nan-Nan Wang; Jing-Hui Qiu; Svetlana A. Varentsova (Sensors, 2020)

Numerical methods for solving the 3D Neumann problem of laser-induced plasma evolution in a semiconductor: Direct and iteration methods. - Vyacheslav A. Trofimov; Maria M. Loginova; Vladimir A. Egorenkov (Comput. Math. Methods, 2021)

Conservation laws of femtosecond pulse propagation described by generalized nonlinear Schrödinger equation with cubic nonlinearity. - Vyacheslav A. Trofimov; Svetlana Stepanenko; Alexander Razgulin (Math. Comput. Simul., 2021)

Efficiency of using adaptive artificial boundary conditions at computer simulation of contrast spatio-temporal laser-induced structures in a semiconductor. - Vyacheslav A. Trofimov; Maria M. Loginova; Vladimir A. Egorenkov (Comput. Math. Methods, 2021)