We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which
contains, besides the traditional quadratic nonlinearity and third-order dispersion, additional …

Combined Effect of Rotation and Topography on Shoaling Oceanic Internal Solitary Waves in:
Journal of Physical Oceanography Volume 44 Issue 4 (2014) Jump to Content Jump to Main …

Several threads of the last 25 years' developments in nonlinear wave theory that stem from
the classical Korteweg–de Vries (KdV) equation are surveyed. The focus is on various …

In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear
long wave modes have nearly coincident phase speeds in the presence of background …

We study the soliton like behavior and conservation laws of a model that describes weakly
nonlinear oceanic internal waves when two distinct linear long wave modes have nearly …

It is well known that the Ostrovsky equation with normal dispersion does not support steady
solitary waves. An initial Korteweg–de Vries solitary wave decays adiabatically through the …

We study the scattering of a long longitudinal radiating bulk strain solitary wave in the
delaminated area of a two-layered elastic structure with soft (“imperfect”) bonding between …

In the coastal ocean, the interaction of barotropic tidal currents with topographic features
such as the continental shelf, sills in narrow straits, and bottom ridges are often observed to …

Two-dimensional free-surface flow past a submerged rectangular disturbance in an open
channel is considered. The forced Korteweg–de Vries model of Binder et al.(Theor Comput …

Flow over bottom topography at critical Froude number is examined with a focus on steady,
forced solitary wave solutions with algebraic decay in the far field, and their stability. Using …