Nonlinear waves, Computer algebra, Analytical methods for solving mathematical equations.

Institute for Problems in Mechanics RAS, 1990–2000 (junior researcher, researcher, senior researcher);
Sonora University, Mexico 2000–present time (full-time professor).

• Approximate solution of the problem on the parametric excitation of surface waves for a fluid depth near the critical one (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Preprint of the Inst. for Probl. in Mech., Russian Acad. of Sci. No. 526 (1993), 28 p. (in Russian).
• Parametric excitation of surface waves for a fluid depth close to the critical value (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Dokl. Akad. Nauk, Vol. 334, No. 6 (1994), 710–711 (English transl. in Phys.-Dokl., Vol. 39, No. 2 (1994), 126–127).
• Foundations of Maple. Application in Mechanics (Coauthors A. I. Zhurov and I. I. Karpov), Preprint IPM RAS No. 536, Moscow, 1995, 76 p. (in Russian).
• On the nonmonotone dependence of the frequency of free surface standing waves on the amplitude (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Dokl. Akad. Nauk, Vol. 341, No. 5 (1995), 623–625 (English transl. in Physics-Doklady, Vol. 40, No. 4 (1995), 193–195).
• Analytic derivation of the dependence of the frequency of standing surface waves on the amplitude in a liquid of finite depth (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Vychisl. Mat. i Mat. Fiz., Vol. 35, No. 2 (1995), 1766–1773 (English transl. in Comp. Maths Math. Phys., Vol. 35, No. 11 (1995), 1423–1428).
• Numerical solution of the problem on nonlinear free surface standing waves in fluid of finite depth, Preprint IPM RAS No. 549, Moscow, 1995, 20 p. (in Russian).
• Investigation of Standing Surface Waves in Fluid of Finite Depth by Computer Algebra Methods, PhD Thesis, Phys & Math, IPM RAS, Moscow, 1995, 136 p. (in Russian).
• On the excitation of surface and interface waves in the ocean by harmonic sources in the elastic ground (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Preprint IPM RAS No. 571, Moscow, 1996, 28 p. (in Russian).
• Generation of long internal gravity waves in the ocean by a seismic expansion center (Coauthor S. Ya. Sekerzh-Zenkovich), Izv. Akad. Nauk. Ser. Fiz. Zemli, No. 4 (1997), 46–51 (English transl. in Izvestiya, Physics of the Solid Earth, Vol. 33, No. 4 (1997), 296–301, Abstract).
• Generation of hydroelastic surface waves in heavy fluid by harmonic seismic sources in elastic half-space (Coauthors S. Ya. Sekerzh-Zenkovich and D. D. Zakharov), ZAMM, Wiley, Vol. 78, No. 3 (1998), 1071–1072.
• Faraday resonance in water waves at nearly critical depths (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Intern. J. Experimental Thermal and Fluid Science, Elsevier Science, Vol. 18, No. 2 (1998), 122–133.
• Excitation of tsunami waves in the nonhomogeneous ocean by seismic sources in the earth-crust (Coauthors S. Ya. Sekerzh-Zenkovich et al.), in "Interaction in the Lythosphere-Hydrosphere-Atmosphere System", Vol. 2, (Editors L. N. Rykunov, E. P. Anisimova, K. V. Pokazeev) (in Russian), pp. 233–240, 1999, Moscow State University, Physics Department, Moscow, Russia.
• Investigation of the Faraday resonance in water waves at nearly critical depths with the aid of computer algebra (Coauthors S. Ya. Sekerzh-Zenkovich and G. A. Bordakov), in book "Progress in Industrial Mathematics at ECMI98", L. Arkeryd, J. Bergh, P. Brenner (Editors), Verlag B. G. Teubner, Stuttgart, Leipzig, pp. 279–286, 1999.
• Excitation of tsunami waves by low-frequency nonstationary point and distributed centers of dilatation (Coauthors S. Ya. Sekerzh-Zenkovich et al.), Akad. Nauk., Prikladn. Matemat. i Mekhanika, Vol. 64 (2000), No. 6, pp. 945–950 (English transl., Russian Academy of Sciences, Applied Mathematics and Mechanics, Vol. 64 (2000), No. 6, pp. 983–988).

• University of Sonora