Trofimov, Vyacheslav; Loginova, Maria; Egorenkov, Vladimir Conservative finite-difference scheme for computer simulation of contrast 3D spatial-temporal structures induced by a laser pulse in a semiconductor. (English) Zbl 1446.65078 Math. Methods Appl. Sci. 43, No. 7, 4895-4917 (2020). MSC: 65M06 65T50 78M20 78A60 35Q60 82D37 35Q81 PDF BibTeX XML Cite \textit{V. Trofimov} et al., Math. Methods Appl. Sci. 43, No. 7, 4895--4917 (2020; Zbl 1446.65078) Full Text: DOI OpenURL
Trofimov, Vyacheslav A.; Trykin, Evgeny M. Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium. (English) Zbl 1453.65235 J. Comput. Phys. 399, Article ID 108947, 19 p. (2019). MSC: 65M06 65Z05 35Q60 35Q55 78A60 PDF BibTeX XML Cite \textit{V. A. Trofimov} and \textit{E. M. Trykin}, J. Comput. Phys. 399, Article ID 108947, 19 p. (2019; Zbl 1453.65235) Full Text: DOI OpenURL
Stepanenko, S. V.; Razgulin, A. V.; Trofimov, V. A. A model describing the propagation of a femtosecond pulse in a Kerr nonlinear medium. (English. Russian original) Zbl 1429.78005 Comput. Math. Model. 30, No. 3, 230-238 (2019); translation from Prikl. Mat. Inf. 60, 51-61 (2019). MSC: 78A60 35Q55 PDF BibTeX XML Cite \textit{S. V. Stepanenko} et al., Comput. Math. Model. 30, No. 3, 230--238 (2019; Zbl 1429.78005); translation from Prikl. Mat. Inf. 60, 51--61 (2019) Full Text: DOI OpenURL
Trofimov, Vyacheslav A.; Loginova, Maria M.; Egorenkov, Vladimir A. A mathematical model of optical bistability and the multiplicity of its solutions. (English) Zbl 1427.78022 J. Comput. Appl. Math. 354, 663-681 (2019). Reviewer: Michael Jung (Dresden) MSC: 78A60 82D37 78M20 65M06 65M12 PDF BibTeX XML Cite \textit{V. A. Trofimov} et al., J. Comput. Appl. Math. 354, 663--681 (2019; Zbl 1427.78022) Full Text: DOI OpenURL
Trofimov, Vyacheslav A.; Loginova, Maria M.; Egorenkov, Vladimir A. Conservative finite-difference scheme and two-stage iteration process of its realization for the 2D problem of semiconductor plasma generation by femtosecond pulse. (English) Zbl 07415847 Commun. Comput. Phys. 23, No. 5, 1512-1533 (2018). MSC: 65M06 65N06 65M12 82D37 78A60 76K05 35J05 82D10 78M20 PDF BibTeX XML Cite \textit{V. A. Trofimov} et al., Commun. Comput. Phys. 23, No. 5, 1512--1533 (2018; Zbl 07415847) Full Text: DOI Link OpenURL
Trofimov, Vyacheslav A.; Loginova, Maria M.; Egorenkov, Vladimir A. Conservative finite-difference scheme for computer simulation of field optical bistability. (English) Zbl 1371.82146 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 682-689 (2017). MSC: 82D37 78A60 82-08 65M06 PDF BibTeX XML Cite \textit{V. A. Trofimov} et al., Lect. Notes Comput. Sci. 10187, 682--689 (2017; Zbl 1371.82146) Full Text: DOI OpenURL
Komarova, E. S.; Trofimov, V. A.; Fedotov, M. V. Transmission of a few-cycle femtosecond pulse through an optically thin plate. (English. Russian original) Zbl 1338.78020 Comput. Math. Model. 26, No. 4, 467-483 (2015); translation from Prikl. Mat. Inf. 47, 5-24 (2014). MSC: 78A60 78M20 PDF BibTeX XML Cite \textit{E. S. Komarova} et al., Comput. Math. Model. 26, No. 4, 467--483 (2015; Zbl 1338.78020); translation from Prikl. Mat. Inf. 47, 5--24 (2014) Full Text: DOI OpenURL
Trofimov, V. V.; Trofimov, V. A. Visualization of the simulation results for multi-dimensional interaction of laser radiation with a photonic crystal. (English. Russian original) Zbl 1254.78029 Comput. Math. Model. 22, No. 1, 69-80 (2011); translation from Prikl. Mat. Inf. 34, 79-92 (2010). MSC: 78A60 68U10 PDF BibTeX XML Cite \textit{V. V. Trofimov} and \textit{V. A. Trofimov}, Comput. Math. Model. 22, No. 1, 69--80 (2011; Zbl 1254.78029); translation from Prikl. Mat. Inf. 34, 79--92 (2010) Full Text: DOI OpenURL
Čiegis, R.; Laukaitytė, I.; Trofimov, V. Parallel numerical algorithm for simulation of counter propagation of two laser beams. (English) Zbl 1220.78085 Fitt, Alistair D. (ed.) et al., Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. Berlin: Springer (ISBN 978-3-642-12109-8/hbk; 978-3-642-12110-4/ebook). Mathematics in Industry 15, 771-776 (2010). MSC: 78A60 78-04 78M20 65N55 65T50 65Y05 PDF BibTeX XML Cite \textit{R. Čiegis} et al., Math. Ind. 15, 771--776 (2010; Zbl 1220.78085) Full Text: DOI OpenURL
Trofimov, V. A.; Lysak, T. M.; Matusevich, O. V.; Lan, Sheng Parameter control of optical soliton in one-dimensional photonic crystal. (English) Zbl 1220.82137 Math. Model. Anal. 15, No. 4, 517-532 (2010). MSC: 82D25 81Q93 81V80 65M06 78A60 PDF BibTeX XML Cite \textit{V. A. Trofimov} et al., Math. Model. Anal. 15, No. 4, 517--532 (2010; Zbl 1220.82137) Full Text: DOI OpenURL
Lysak, T. M.; Trofimov, V. A. Achieving high-efficiency second harmonic generation in a sequence of laser pulses with random peak intensity. III: Propagation of pulses in a bulk medium. (English. Russian original) Zbl 1179.78101 Comput. Math. Model. 20, No. 2, 101-112 (2009); translation from Prikl. Mat. Inf. 29, 5-18 (2008). MSC: 78A60 78A45 78M35 78A48 65N21 78A40 PDF BibTeX XML Cite \textit{T. M. Lysak} and \textit{V. A. Trofimov}, Comput. Math. Model. 20, No. 2, 101--112 (2009; Zbl 1179.78101); translation from Prikl. Mat. Inf. 29, 5--18 (2008) Full Text: DOI OpenURL
Lysak, T. M.; Trofimov, V. A. Achieving high-efficiency second harmonic generation in a sequence of laser pulses with random peak intensity. II: Suppression of intensity fluctuations in a quadratic-nonlinearity medium. (English. Russian original) Zbl 1179.78100 Comput. Math. Model. 20, No. 1, 1-25 (2009); translation from Prikl. Mat. Inf. 28, 5-36 (2008). MSC: 78A60 78A48 78A40 PDF BibTeX XML Cite \textit{T. M. Lysak} and \textit{V. A. Trofimov}, Comput. Math. Model. 20, No. 1, 1--25 (2009; Zbl 1179.78100); translation from Prikl. Mat. Inf. 28, 5--36 (2008) Full Text: DOI OpenURL
Matusevich, O. V.; Trofimov, V. A. A numerical method for calculating solitons of the nonlinear Schödinger equation in the axially symmetric case. (English. Russian original) Zbl 1175.65132 Mosc. Univ. Comput. Math. Cybern. 33, No. 3, 117-126 (2009); translation from Vestn. Mosk. Univ., Ser. XV. 2009, No. 3, 12-19 (2009). MSC: 65N25 35Q55 78A40 35P30 35Q51 65N12 PDF BibTeX XML Cite \textit{O. V. Matusevich} and \textit{V. A. Trofimov}, Mosc. Univ. Comput. Math. Cybern. 33, No. 3, 117--126 (2009; Zbl 1175.65132); translation from Vestn. Mosk. Univ., Ser. XV. 2009, No. 3, 12--19 (2009) Full Text: DOI OpenURL
Lysak, T. M.; Trofimov, V. A. Achieving high-efficiency second harmonic generation in a sequence of laser pulses with random peak intensity. I: Efficient generation in optical fibers. (English. Russian original) Zbl 1179.78099 Comput. Math. Model. 19, No. 4, 333-342 (2008); translation from Prikl. Mat. Inf. 27, 5-24 (2007). MSC: 78A60 78A48 PDF BibTeX XML Cite \textit{T. M. Lysak} and \textit{V. A. Trofimov}, Comput. Math. Model. 19, No. 4, 333--342 (2008; Zbl 1179.78099); translation from Prikl. Mat. Inf. 27, 5--24 (2007) Full Text: DOI OpenURL
Trofimov, V. A.; Matusevich, O. V. Numerical method for 2D soliton at SHG in media with time-dependent combined nonlinearity. (English) Zbl 1142.78320 Math. Model. Anal. 13, No. 1, 123-133 (2008). MSC: 78A60 35Q55 35Q51 78M20 65N06 35P15 PDF BibTeX XML Cite \textit{V. A. Trofimov} and \textit{O. V. Matusevich}, Math. Model. Anal. 13, No. 1, 123--133 (2008; Zbl 1142.78320) Full Text: DOI OpenURL
Dogadushkin, P. V.; Trofimov, V. A. Conservative difference scheme for the problem of femtosecond pulse propagation in layered absorbing medium with nonreflecting boundary conditions. (English, Russian) Zbl 1153.65353 Mosc. Univ. Comput. Math. Cybern. 2006, No. 4, 13-20 (2006); translation from Vestn. Mosk. Univ., Ser. XV 2006, No. 4, 15-22 (2006). MSC: 65M06 78A20 PDF BibTeX XML Cite \textit{P. V. Dogadushkin} and \textit{V. A. Trofimov}, Mosc. Univ. Comput. Math. Cybern. 2006, No. 4, 13--20 (2006; Zbl 1153.65353); translation from Vestn. Mosk. Univ., Ser. XV 2006, No. 4, 15--22 (2006) OpenURL
Loginova, M. M.; Trofimov, V. A. On the efficiency of some difference schemes for problems of nonlinear interaction of optical radiation with a semiconductor. (English. Russian original) Zbl 1138.82032 Differ. Equ. 42, No. 8, 1189-1198 (2006); translation from Differ. Uravn. 42, No. 8, 1123-1131 (2006). MSC: 82D37 65M06 78A60 PDF BibTeX XML Cite \textit{M. M. Loginova} and \textit{V. A. Trofimov}, Differ. Equ. 42, No. 8, 1189--1198 (2006; Zbl 1138.82032); translation from Differ. Uravn. 42, No. 8, 1123--1131 (2006) Full Text: DOI OpenURL
Safonov, V. N.; Trofimov, V. A. Parametric generation of even polarization harmonics in a layer with cubic nonlinearity. (English. Russian original) Zbl 1139.78007 Comput. Math. Model. 17, No. 4, 304-319 (2006); translation from Prikl. Mat. Inf. 22, 31-49 (2005). MSC: 78A60 PDF BibTeX XML Cite \textit{V. N. Safonov} and \textit{V. A. Trofimov}, Comput. Math. Model. 17, No. 4, 304--319 (2006; Zbl 1139.78007); translation from Prikl. Mat. Inf. 22, 31--49 (2005) Full Text: DOI OpenURL
Varentsova, S. A.; Trofimov, V. A. On a difference method for finding eigenmodes of the nonlinear Schrödinger equation. (Russian, English) Zbl 1105.78008 Vestn. Mosk. Univ., Ser. XV 2005, No. 3, 16-22 (2005); translation in Mosc. Univ. Comput. Math. Cybern. 2005, No. 3, 1-8 (2005). Reviewer: S. A. Vakhrameev (Moskva) MSC: 78A60 78M20 35Q55 PDF BibTeX XML Cite \textit{S. A. Varentsova} and \textit{V. A. Trofimov}, Vestn. Mosk. Univ., Ser. XV 2005, No. 3, 16--22 (2005; Zbl 1105.78008); translation in Mosc. Univ. Comput. Math. Cybern. 2005, No. 3, 1--8 (2005) OpenURL
Volkov, A. G.; Trofimov, V. A. The role of the spectral invariant in computer modelling of nonlinear femtosecond pulse propagation. (Russian, English) Zbl 1105.78009 Vestn. Mosk. Univ., Ser. XV 2005, No. 1, 29-35 (2005). Reviewer: S. A. Vakhrameev (Moskva) MSC: 78A60 78M20 35Q55 PDF BibTeX XML Cite \textit{A. G. Volkov} and \textit{V. A. Trofimov}, Vestn. Mosk. Univ., Ser. XV 2005, No. 1, 29--35 (2005; Zbl 1105.78009) OpenURL
Volkov, A. G.; Trofimov, V. A.; Tereshin, E. B. Conservative difference schemes for some problems of femtosecond nonlinear optics. (English. Russian original) Zbl 1103.78005 Differ. Equ. 41, No. 7, 953-962 (2005); translation from Differ. Uravn. 41, No. 7, 908-917 (2005). Reviewer: Aleksander Pankov (Williamsburg) MSC: 78M20 65M06 78A60 PDF BibTeX XML Cite \textit{A. G. Volkov} et al., Differ. Equ. 41, No. 7, 953--962 (2005; Zbl 1103.78005); translation from Differ. Uravn. 41, No. 7, 908--917 (2005) Full Text: DOI OpenURL
Borhanifar, A.; Volkov, A. G.; Trofimov, V. A. Difference scheme for three-frequency interaction of femtosecond pulses in the presence of nonlinear response dispersion. (English. Russian original) Zbl 1089.78019 Comput. Math. Model. 16, No. 3, 214-221 (2005); translation from Prikl. Mat. Inf. 17, 31-39 (2004). MSC: 78A60 78M20 PDF BibTeX XML Cite \textit{A. Borhanifar} et al., Comput. Math. Model. 16, No. 3, 214--221 (2005; Zbl 1089.78019); translation from Prikl. Mat. Inf. 17, 31--39 (2004) Full Text: DOI OpenURL
Trofimov, Vyacheslav A.; Lysak, Tatiana M. Soliton-like regime of femtosecond laser pulse propogation in bulk media under the conditions of SHG. (English) Zbl 1118.78308 Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 543-550 (2005). MSC: 78A60 PDF BibTeX XML Cite \textit{V. A. Trofimov} and \textit{T. M. Lysak}, Lect. Notes Comput. Sci. 3401, 543--550 (2005; Zbl 1118.78308) Full Text: DOI OpenURL
Trofimov, Vyacheslav A.; Loginova, Maria M. Comparison of some difference schemes for problem of femtosecond pulse interaction with semiconductor in the case of nonlinear mobility coefficient. (English) Zbl 1118.78307 Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 535-542 (2005). MSC: 78A60 PDF BibTeX XML Cite \textit{V. A. Trofimov} and \textit{M. M. Loginova}, Lect. Notes Comput. Sci. 3401, 535--542 (2005; Zbl 1118.78307) Full Text: DOI OpenURL
Trofimov, Vyacheslav A.; Borhanifar, Abdolla; Volkov, Alexey G. Conservative difference scheme for summary frequency generation of femtosecond pulse. (English) Zbl 1118.78306 Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 527-534 (2005). MSC: 78A60 PDF BibTeX XML Cite \textit{V. A. Trofimov} et al., Lect. Notes Comput. Sci. 3401, 527--534 (2005; Zbl 1118.78306) Full Text: DOI OpenURL
Borhanifar, A.; Trofimov, V. A. Comparison of efficiency of various approaches to computer simulation of nonlinear interaction of three femtosecond pulses in optical fiber. (Russian, English) Zbl 1105.78007 Vestn. Mosk. Univ., Ser. XV 2004, No. 3, 12-19 (2004); translation in Mosc. Univ. Comput. Math. Cybern. 2004, No. 3, 12-20 (2004). Reviewer: S. A. Vakhrameev (Moskva) MSC: 78A60 78M20 35J05 PDF BibTeX XML Cite \textit{A. Borhanifar} and \textit{V. A. Trofimov}, Vestn. Mosk. Univ., Ser. XV 2004, No. 3, 12--19 (2004; Zbl 1105.78007); translation in Mosc. Univ. Comput. Math. Cybern. 2004, No. 3, 12--20 (2004) OpenURL
Loginova, M. M.; Trofimov, V. A. Comparison of certain finite-difference schemes for the problem of femtosecond impulse action on a semiconductor. (Russian, English) Zbl 1088.78007 Vestn. Mosk. Univ., Ser. XV 2004, No. 1, 10-16 (2004); translation in Mosc. Univ. Comput. Math. Cybern. 2004, No. 1, 15-23 (2004). Reviewer: S. A. Vakhrameev (Moskva) MSC: 78M20 78A60 82D37 PDF BibTeX XML Cite \textit{M. M. Loginova} and \textit{V. A. Trofimov}, Vestn. Mosk. Univ., Ser. XV 2004, No. 1, 10--16 (2004; Zbl 1088.78007); translation in Mosc. Univ. Comput. Math. Cybern. 2004, No. 1, 15--23 (2004) OpenURL
Varentsova, S. A.; Loginova, M. M.; Trofimov, V. A. Mathematical modelling the optical bistability based on a light-induced electric field. (Russian, English) Zbl 1147.78303 Vestn. Mosk. Univ., Ser. XV 2003, No. 1, 20-27 (2003); translation in Mosc. Univ. Comput. Math. Cybern. 2003, No. 1, 22-29 (2003). Reviewer: S. A. Vakhrameev (Moskva) MSC: 78A15 78M20 PDF BibTeX XML Cite \textit{S. A. Varentsova} et al., Vestn. Mosk. Univ., Ser. XV 2003, No. 1, 20--27 (2003; Zbl 1147.78303); translation in Mosc. Univ. Comput. Math. Cybern. 2003, No. 1, 22--29 (2003) OpenURL
Varentsova, S. A.; Volkov, A. G.; Trofimov, V. A. The conservative difference scheme for the problem of femtosecond laser pulse propagation through a medium with a cubic nonlinearity. (Russian, English) Zbl 1078.81600 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 11, 1709-1721 (2003); translation in Comput. Math. Math. Phys. 43, No. 11, 1644-1656 (2003). Reviewer: Evgenij Nechaev (Moskva) MSC: 81V80 81Q05 78A60 81-08 65M60 PDF BibTeX XML Cite \textit{S. A. Varentsova} et al., Zh. Vychisl. Mat. Mat. Fiz. 43, No. 11, 1709--1721 (2003; Zbl 1078.81600); translation in Comput. Math. Math. Phys. 43, No. 11, 1644--1656 (2003) OpenURL
Tereshin, E. B.; Trofimov, V. A.; Fedotov, M. V. A conservative difference scheme for the problem of two-wave interaction of femtosecond pulses in photonic crystals. (Russian, English) Zbl 1083.78517 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1530-1535 (2003); translation in Comput. Math. Math. Phys. 43, No. 10, 1472-1477 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 78M20 78A60 78A10 82D25 PDF BibTeX XML Cite \textit{E. B. Tereshin} et al., Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1530--1535 (2003; Zbl 1083.78517); translation in Comput. Math. Math. Phys. 43, No. 10, 1472--1477 (2003) Full Text: Link OpenURL
Trofimov, V. A.; Tereshin, E. B.; Fedotov, M. V. Studying difference schemes for the problem of femtosecond pulse action in a photonic crystal. (English. Russian original) Zbl 1050.78012 Mosc. Univ. Comput. Math. Cybern. 2003, No. 2, 13-20 (2003); translation from Vestn. Mosk. Univ., Ser. XV 2003, No. 2, 20-26 (2003). Reviewer: S. A. Vakhrameev (Moskva) MSC: 78M05 78A10 PDF BibTeX XML Cite \textit{V. A. Trofimov} et al., Mosc. Univ. Comput. Math. Cybern. 2003, No. 2, 20--26 (2003; Zbl 1050.78012); translation from Vestn. Mosk. Univ., Ser. XV 2003, No. 2, 20--26 (2003) OpenURL
Varentsova, S. A.; Trofimov, V. A. Invariants of nonlinear propagation of femtosecond laser pulses through a medium with non-stationary response. (Russian, English) Zbl 1140.78317 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1831-1835 (2002); translation in Comput. Math. Math. Phys. 42, No. 12, 1759-1763 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 78A60 78M20 35J10 PDF BibTeX XML Cite \textit{S. A. Varentsova} and \textit{V. A. Trofimov}, Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1831--1835 (2002; Zbl 1140.78317); translation in Comput. Math. Math. Phys. 42, No. 12, 1759--1763 (2002) OpenURL
Varentsova, S. A.; Trofimov, V. A. Invariants of nonlinear interaction of femtosecond pulses in the presence of third-order dispersion. (Russian, English) Zbl 1056.81100 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 5, 709-717 (2002); translation in Comput. Math. Math. Phys. 42, No. 5, 679-687 (2002). Reviewer: Evgenij Nechaev (Moskva) MSC: 81V80 81Q05 78A60 35Q55 PDF BibTeX XML Cite \textit{S. A. Varentsova} and \textit{V. A. Trofimov}, Zh. Vychisl. Mat. Mat. Fiz. 42, No. 5, 709--717 (2002; Zbl 1056.81100); translation in Comput. Math. Math. Phys. 42, No. 5, 679--687 (2002) OpenURL
Lysak, T. M.; Trofimov, V. A. Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses. (English. Russian original) Zbl 1029.35205 Comput. Math. Math. Phys. 41, No. 8, 1214-1226 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1275-1288 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 35Q55 78A60 35B05 65N06 PDF BibTeX XML Cite \textit{T. M. Lysak} and \textit{V. A. Trofimov}, Comput. Math. Math. Phys. 41, No. 8, 1214--1226 (2001; Zbl 1029.35205); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1275--1288 (2001) OpenURL
Trofimov, V. A. Invariants of femtosecond pulse propagation in photonic crystals. (English. Russian original) Zbl 1114.78357 Comput. Math. Math. Phys. 41, No. 9, 1358-1362 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 9, 1429-1433 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 78A60 35Q55 78M20 PDF BibTeX XML Cite \textit{V. A. Trofimov}, Comput. Math. Math. Phys. 41, No. 9, 1358--1362 (2001; Zbl 1114.78357); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 9, 1429--1433 (2001) OpenURL
Ivanova, I. S.; Magnitskiĭ, S. A.; Trofimov, V. A. Criteria of efficiency of SHG of powerful femtosecond laser pulse. (Russian) Zbl 0994.78008 Vestn. Mosk. Univ., Ser. XV 2000, No. 1, 21-25 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 78A60 35Q60 35Q55 PDF BibTeX XML Cite \textit{I. S. Ivanova} et al., Vestn. Mosk. Univ., Ser. XV 2000, No. 1, 21--25 (2000; Zbl 0994.78008) OpenURL
Dorokhova, T. V.; Savenkova, N. P.; Trofimov, V. A. Simulation of soliton solutions for the propagation of a femtosecond pulse in a medium with a cubic nonlinearity. (English. Russian original) Zbl 0964.78013 Comput. Math. Model. 11, No. 3, 266-270 (2000); translation from Prikl. Mat. Inf. 2, 63-68 (1999). MSC: 78A60 65L15 78M20 PDF BibTeX XML Cite \textit{T. V. Dorokhova} et al., Comput. Math. Model. 11, No. 3, 266--270 (2000; Zbl 0964.78013); translation from Prikl. Mat. Inf. 2, 63--68 (1999) Full Text: DOI OpenURL
Zakharova, I. G.; Trofimov, V. A. Time-dependent processes in collinear interaction of colliding light beams in a system with a reflecting mirror. (English. Russian original) Zbl 1099.78523 Comput. Math. Model. 11, No. 4, 401-407 (2000); translation from Prikl. Mat. Inf. 3, 81-89 (1999). MSC: 78A60 PDF BibTeX XML Cite \textit{I. G. Zakharova} and \textit{V. A. Trofimov}, Comput. Math. Model. 11, No. 4, 401--407 (2000; Zbl 1099.78523); translation from Prikl. Mat. Inf. 3, 81--89 (1999) Full Text: DOI OpenURL
Milyukova, Olga Yu.; Trofimov, Vyacheslav A.; Zakharova, Irina G. Mathematical modeling of diffraction instability in optical bistable system. (English) Zbl 0956.78017 Comput. Phys. Commun. 126, No. 1-2, 126-130 (2000). MSC: 78M20 78A45 65Y05 78A60 PDF BibTeX XML Cite \textit{O. Yu. Milyukova} et al., Comput. Phys. Commun. 126, No. 1--2, 126--130 (2000; Zbl 0956.78017) Full Text: DOI OpenURL
Nikolaichev, A. N.; Savenkova, N. P.; Trofimov, V. A. Algorithm for solving a nonlinear differential equation with a linear entering of an eigenvalue. (English. Russian original) Zbl 0979.78026 Mosc. Univ. Comput. Math. Cybern. 1999, No. 3, 7-10 (1999); translation from Vestn. Mosk. Univ., Ser. XV 1999, No. 3, 9-11 (1999). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 78A60 PDF BibTeX XML Cite \textit{A. N. Nikolaichev} et al., Mosc. Univ. Comput. Math. Cybern. 1999, No. 3, 7--10 (1999; Zbl 0979.78026); translation from Vestn. Mosk. Univ., Ser. XV 1999, No. 3, 9--11 (1999) OpenURL
Bondarenko, O. S.; Trofimov, V. A. Relaxation optical bistability: A new class of optically bistable elements. (English. Russian original) Zbl 0992.82046 Dokl. Math. 59, No. 1, 137-140 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 5, 599-603 (1999). MSC: 82D37 78A60 PDF BibTeX XML Full Text: DOI OpenURL
Varentsova, S. A.; Trofimov, V. A. Invariants in the process of second harmonic generation by femtosecond light pulses. (English. Russian original) Zbl 0971.78018 Mosc. Univ. Comput. Math. Cybern. 1998, No. 4, 63-66 (1998); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 4, 45-47 (1998). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 78A60 PDF BibTeX XML OpenURL
Bondarenko, O. S.; Trofimov, V. A. Additive increase in the spatial frequency of laser-induced waves in optically bistable noncavity systems. (English. Russian original) Zbl 0973.78025 Dokl. Math. 57, No. 3, 490-493 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 6, 740-744 (1998). MSC: 78A60 PDF BibTeX XML OpenURL
Trofimov, V. A. An invariant of femtosecond-pulse propagation in a nonlinear absorptive medium. (English. Russian original) Zbl 0964.78012 Comput. Math. Math. Phys. 38, No. 12, 1974-1977 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 12, 2055-2059 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 78A60 78M20 PDF BibTeX XML Cite \textit{V. A. Trofimov}, Comput. Math. Math. Phys. 38, No. 12, 1974--1977 (1998; Zbl 0964.78012); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 12, 2055--2059 (1998) OpenURL
Trofimov, V. A. On a new approach to the simulation of the nonlinear propagation of ultrashort laser pulses. (English. Russian original) Zbl 0953.78005 Comput. Math. Math. Phys. 38, No. 5, 805-809 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 835-839 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 78A60 78M20 35Q55 PDF BibTeX XML Cite \textit{V. A. Trofimov}, Comput. Math. Math. Phys. 38, No. 5, 805--809 (1998; Zbl 0953.78005); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 835--839 (1998) OpenURL
Trofimov, V. A.; Bondarenko, O. S. Formation of laser-induced localized spatial structures in semiconductors in the presence of optical bistability. (English. Russian original) Zbl 0935.78011 Comput. Math. Model. 10, No. 3, 267-273 (1999); translation from Chisl. Met. Mat. Fiz., Mosk. Gos. Univ. 1998, 67-75 (1998). MSC: 78A60 35Q60 35K60 82D37 PDF BibTeX XML Cite \textit{V. A. Trofimov} and \textit{O. S. Bondarenko}, Comput. Math. Model. 10, No. 3, 1 (1998; Zbl 0935.78011); translation from Chisl. Met. Mat. Fiz., Mosk. Gos. Univ. 1998, 67--75 (1998) Full Text: DOI OpenURL
Trofimov, V. A. Nonlinear wave equation of the laser optics of femtosecond pulses. (English. Russian original) Zbl 0960.35096 Differ. Equations 34, No. 7, 1008-1011 (1998); translation from Differ. Uravn. 34, No. 7, 1002-1004 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 35Q55 78A60 78M20 PDF BibTeX XML Cite \textit{V. A. Trofimov}, Differ. Equations 34, No. 7, 1008--1011 (1998; Zbl 0960.35096); translation from Differ. Uravn. 34, No. 7, 1002--1004 (1998) OpenURL
Varentsova, S. A.; Trofimov, V. A. Lagrangian of the process of generation of the second harmonic of femtosecond light pulses. (English. Russian original) Zbl 0959.35155 Differ. Equations 34, No. 7, 997-999 (1998); translation from Differ. Uravn. 34, No. 7, 993-995 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 35Q55 78A60 35Q51 PDF BibTeX XML Cite \textit{S. A. Varentsova} and \textit{V. A. Trofimov}, Differ. Equations 34, No. 7, 997--999 (1998; Zbl 0959.35155); translation from Differ. Uravn. 34, No. 7, 993--995 (1998) OpenURL
Karamzin, Yu. N.; Polyakov, S. V.; Trofimov, V. A. Optical bistability in semiconductors under the condition of finite time of the thermalization of absorbed light energy. II: Numerical simulation of spatial switching waves. (Russian. English summary) Zbl 1075.78541 Mat. Model. 5, No. 4, 14-31 (1993). MSC: 78A60 82D37 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} et al., Mat. Model. 5, No. 4, 14--31 (1993; Zbl 1075.78541) Full Text: MNR OpenURL
Karamzin, Yu. N.; Polyakov, S. V.; Trofimov, V. A. Optical bistability of semiconductors under the condition of finite time of the thermalization of absorbed light energy. I: Numerical methods. Conditions for the existence of bistability. (Russian. English summary) Zbl 1075.78540 Mat. Model. 5, No. 4, 3-13 (1993). MSC: 78A60 82D37 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} et al., Mat. Model. 5, No. 4, 3--13 (1993; Zbl 1075.78540) Full Text: MNR OpenURL
Zakharova, I. G.; Karamzin, Yu. N.; Trofimov, V. A. Numerical methods for optical thermal blooming problems. (English) Zbl 0938.78001 Math. Model. Comput. Exp. 1, No. 2, 175-186 (1993). MSC: 78A10 78M20 PDF BibTeX XML Cite \textit{I. G. Zakharova} et al., Math. Model. Comput. Exp. 1, No. 2, 175--186 (1993; Zbl 0938.78001) OpenURL
Karamzin, Yu. N.; Trofimov, V. A.; Zakharova, I. G. Difference schemes for optical thermal blooming problems. (English) Zbl 0816.65121 Russ. J. Numer. Anal. Math. Model. 7, No. 4, 299-323 (1992). MSC: 65Z05 65M06 65M12 35Q60 35Q72 78A40 80A20 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} et al., Russ. J. Numer. Anal. Math. Model. 7, No. 4, 299--323 (1992; Zbl 0816.65121) Full Text: DOI OpenURL
Zakharova, I. G.; Karamzin, Yu. N.; Trofimov, V. A. Numerical modeling of thermal self-action of scanned light pulses. (Russian. English summary) Zbl 1189.78048 Mat. Model. 4, No. 3, 84-90 (1992). MSC: 78A55 80A99 PDF BibTeX XML Cite \textit{I. G. Zakharova} et al., Mat. Model. 4, No. 3, 84--90 (1992; Zbl 1189.78048) Full Text: MNR OpenURL
Karamzin, Yu. N.; Trofimov, V. A.; Chertok, A. È. An algorithm for the numerical solution of equations describing processes in photoreceivers. (Russian. English summary) Zbl 1189.78044 Mat. Model. 3, No. 10, 95-103 (1991). MSC: 78A55 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} et al., Mat. Model. 3, No. 10, 95--103 (1991; Zbl 1189.78044) Full Text: MNR OpenURL
Zakharova, I. G.; Karamzin, Yu. N.; Trofimov, V. A. On convergence of numerical methods for light pulses thermal self-action problems. (English. Russian original) Zbl 0753.65095 Mosc. Univ. Comput. Math. Cybern. 1990, No. 3, 38-44 (1990); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 3, 41-48 (1990). MSC: 65Z05 65M06 65M12 78A40 35K55 35Q60 PDF BibTeX XML Cite \textit{I. G. Zakharova} et al., Mosc. Univ. Comput. Math. Cybern. 1990, No. 3, 38--44 (1990; Zbl 0753.65095); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 3, 41--48 (1990) OpenURL
Karamzin, Yu. N.; Polyakov, S. V.; Trofimov, V. A. Mathematical simulation of optical bistability by thermal response of semiconductor. (Russian. English summary) Zbl 0972.78502 Mat. Model. 2, No. 12, 17-32 (1990). MSC: 78A10 82D37 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} et al., Mat. Model. 2, No. 12, 17--32 (1990; Zbl 0972.78502) Full Text: MNR OpenURL
Kalinichenko, M. I.; Karamzin, Yu. N.; Trofimov, V. A. On the modeling of macrokinetic of gas-phase reactions under the influence of optic radiation. (Russian. English summary) Zbl 0974.78539 Mat. Model. 2, No. 10, 80-90 (1990). MSC: 78A60 78A10 92E20 PDF BibTeX XML Cite \textit{M. I. Kalinichenko} et al., Mat. Model. 2, No. 10, 80--90 (1990; Zbl 0974.78539) Full Text: MNR OpenURL
Sukhorukov, A. P.; Titov, V. N.; Trofimov, V. A. Interaction of optical waves in absorbing media with thermal nonlinearity mechanism. (Russian. English summary) Zbl 0972.78501 Mat. Model. 2, No. 10, 26-37 (1990). MSC: 78A10 PDF BibTeX XML Cite \textit{A. P. Sukhorukov} et al., Mat. Model. 2, No. 10, 26--37 (1990; Zbl 0972.78501) Full Text: MNR OpenURL
Karamzin, Yu. N.; Sukhorukov, A. P.; Trofimov, V. A. Mathematical modelling in nonlinear optics. (Matematicheskoe modelirovanie v nelinejnoj optike.) (Russian) Zbl 0704.65049 Moskva: Izdatel’stvo Moskovskogo Gosudarstvennogo Universiteta. 156 p. R. 2.00 (1989). Reviewer: I.Ginchev MSC: 65K10 78A10 65-02 00A71 35Q60 78-02 93C40 49M25 49K20 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} et al., Matematicheskoe modelirovanie v nelinejnoj optike (Russian). Moskva: Izdatel'stvo Moskovskogo Gosudarstvennogo Universiteta (1989; Zbl 0704.65049) OpenURL
Zakharova, I. G.; Karamzin, Yu. N.; Trofimov, V. A. Numerical methods for problems describing heat self-interaction of optical radiation. (Russian) Zbl 0969.80502 Mat. Model. 1, No. 10, 130-141 (1989). MSC: 80M20 80A20 78A40 PDF BibTeX XML Cite \textit{I. G. Zakharova} et al., Mat. Model. 1, No. 10, 130--141 (1989; Zbl 0969.80502) Full Text: MNR OpenURL
Karamzin, Yu. N.; Trofimov, V. A. Difference methods for certain problems of propagation of optical radiation in a chemically active medium. (English. Russian original) Zbl 0632.65123 Mosc. Univ. Comput. Math. Cybern. 1987, No. 2, 36-43 (1987); translation from Vestn. Mosk. Univ., Ser. XV 1987, No. 2, 29-36 (1987). Reviewer: E.V.Nicolau MSC: 65Z05 65N22 78A15 78A40 35Q99 65N15 PDF BibTeX XML Cite \textit{Yu. N. Karamzin} and \textit{V. A. Trofimov}, Mosc. Univ. Comput. Math. Cybern. 1987, No. 2, 36--43 (1987; Zbl 0632.65123); translation from Vestn. Mosk. Univ., Ser. XV 1987, No. 2, 29--36 (1987) OpenURL