https://doi.org/10.1140/epjp/s13360-020-00673-5
Regular Article
Trapped solitary waves over an uneven bottom
1
Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
2
Sobolev Institute of Mathematics, Novosibirsk, Russia
Received:
31
May
2020
Accepted:
6
August
2020
Published online:
20
August
2020
Steady two-dimensional surface waves on an ideal irrotational fluid over a complex multi-bumped topography are studied analytically in the case when the far upstream flow is slightly supercritical. Fully nonlinear equations are formulated via the von Mises variables that parametrize the bundle of streamlines in the flow over obstacles. For a given small-height topography, we construct approximate two-parametric solution sets which approach the branches of solitary waves as the typical height of the obstacle vanishes.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
