Nonlinear waves,
Computer algebra,
Analytical methods for solving mathematical equations.
Main publications:
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).
