Abstract:
A problem on stationary waves on the interface between a homogeneous fluid and an exponentially stratified fluid is considered. The density difference on the interface being assumed to have the same order of smallness as the density gradient of the fluid inside the stratified layer, an equation of the second-order shallow water approximation is derived for description of propagation of finite-amplitude solitary waves.
Citation:
N. I. Makarenko, Zh. L. Maltseva, “Solitary waves in a weakly stratified two-layer fluid”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 72–78; J. Appl. Mech. Tech. Phys., 50:2 (2009), 229–234
This publication is cited in the following 6 articles:
N. I. Makarenko, J. L. Maltseva, A. A. Cherevko, “Solitary Waves in a Two-Layer Fluid with Piecewise Exponential Stratification”, Fluid Dyn, 58:7 (2023), 1235
N. I. Makarenko, J. L. Maltseva, A. A. Cherevko, “Solitary Waves in Two-Layer Fluid with Piecewise Exponential Stratification”, Prikladnaâ matematika i mehanika, 87:2 (2023), 186
N. I. Makarenko, J. L. Maltseva, A. A. Cherevko, “Internal waves in two-layer stratified flows”, J. Appl. Mech. Tech. Phys., 63:6 (2022), 1022–1029
Nikolay Makarenko, Janna Maltseva, Roman Tarakanov, Kseniya Ivanova, Springer Oceanography, The Ocean in Motion, 2018, 55
Nikolay Makarenko, Janna Maltseva, Eugene Morozov, Roman Tarakanov, Kseniya Ivanova, “Internal waves in marginally stable abyssal stratified flows”, Nonlin. Processes Geophys., 25:3 (2018), 659
N I Makarenko, J L Maltseva, E G Morozov, R Yu Tarakanov, K A Ivanova, “Nonlinear waves in marginally stable flows of Antarctic Bottom Water”, IOP Conf. Ser.: Earth Environ. Sci., 193 (2018), 012041