caa a22 4500 469100915 CHVBK 20180323133044.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF01051329 doi (NATIONALLICENCE)springer-10.1007/BF01051329 Trifonov Yu Novosibirsk aut Doubly periodic and quasiperiodic wave regimes in a liquid film flowing down an inclined plane, their stability and bifurcations [Elektronische Daten] [Yu. Trifonov] A nonlinear evolution equation frequently encountered in modeling the behavior of disturbances in various nonconservative media, for example, in problems of the hydrodynamics of liquid film flow, is considered. Wave solutions of this equation, regular in space and both periodic and quasiperiodic in time, branching off from steady and steady-state traveling waves are found numerically. The stability and bifurcations are analyzed for some of the solutions obtained. As a result, a bifurcation chain is found for solutions stable with respect to disturbances of the same spatial period. It is shown that the bifurcations are related to the loss of certain symmetries of the initial solution. It is demonstrated that as the bifurcation parameter increases it is possible to distinguish in the structure of the solutions intervals of "quiet” behavior and intervals of intense "outbursts.” Plenum Publishing Corporation, 1993 Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/4(1992-07-01), 525-533 0015-4628 27:4<525 1992 27 10697 https://doi.org/10.1007/BF01051329 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01051329 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Trifonov Yu Novosibirsk aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/4(1992-07-01), 525-533 0015-4628 27:4<525 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer