caa a22 4500 47577552X CHVBK 20180406123630.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/BF02465238 doi (NATIONALLICENCE)springer-10.1007/BF02465238 Postcritical regimes in the nonlinear problem of vortex motion under the free surface of a weighable fluid [Elektronische Daten] [V. Zhitnikov, N. Sherykhalina, O. Sherykhalin] An improved Levi-Civita method in which the singularities of the desired function are taken into account by introducing terms containing power singularities is proposed. Results of numerical analysis of the nonlinear problem of a vortex in a bounded flow of an ideal weighable fluid (Fr>1) are given. The following limiting flow regimes are studied: the Stokes waves with one and two crests, emergence of a critical point on the surface, and the detachment of a vortex from a soliton and a uniform flow. It is shown that nonperiodic waves can form in a local zone in the vicinity of the critical point. Kluwer Academic/Plenum Publishers, 2000 Zhitnikov V. aut Sherykhalina N. aut Sherykhalin O. aut Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/1(2000-01-01), 62-68 0021-8944 41:1<62 2000 41 10808 https://doi.org/10.1007/BF02465238 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02465238 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhitnikov V. aut NATIONALLICENCE 700 1- Sherykhalina N. aut NATIONALLICENCE 700 1- Sherykhalin O. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/1(2000-01-01), 62-68 0021-8944 41:1<62 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer