caa a22 4500 475775864 CHVBK 20180406123631.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/BF02465292 doi (NATIONALLICENCE)springer-10.1007/BF02465292 Kozitskii S. aut Amplitude equations for a system with thermohaline convection [Elektronische Daten] [S. Kozitskii] The multiple scale expansion method is used to derive amplitude equations for a system with thermohaline convection in the neighborhood of Hopf and Taylor bifurcation points and at the double zero point of the dispersion relation. A complex Ginzburg-Landau equation, a Newell-Whitehead-type equation, and an equation of the ϕ4 type, respectively, were obtained. Analytic expressions for the coefficients of these equations and their various asymptotic forms are presented. In the case of Hopf bifurcation for low and high frequencies, the amplitude equation reduces to a perturbed nonlinear Shroedinger equation. In the high-frequency limit, structures of the type of "dark” solitons are characteristic of the examined physical system. Kluwer Academic/Plenum Publishers, 2000 Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/3(2000-05-01), 429-438 0021-8944 41:3<429 2000 41 10808 https://doi.org/10.1007/BF02465292 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02465292 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kozitskii S. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/3(2000-05-01), 429-438 0021-8944 41:3<429 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer