Anomalous resonance phenomena of solitary waves with internal modes [PDF]
We investigate the non-parametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency $\Omega_i$. We show that the strongest resonance arises when the driving frequency $\delta=\Omega_i/2$, whereas when $
A. C. Scott +25 more
core +4 more sources
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon [PDF]
This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface.
Bona J L +24 more
core +2 more sources
The solitonic solutions of finite depth long water wave models
The nonlinear Fokas and breaking soliton equations are important modeling equations for coastal and ocean waves, such as long water waves and tsunami waves.
M. Ali Akbar +2 more
doaj +1 more source
Theoretical seismology in 3D : nonlinear simulations of internal gravity waves in solar-like stars [PDF]
Internal gravity waves (hereafter IGWs) are studied for their impact on the angular momentum transport in stellar radiation zones and the information they provide about the structure and dynamics of deep stellar interiors.
Alvan, Lucie +2 more
core +3 more sources
Internal solitary wave transformation over the slope: Asymptotic theory and numerical simulation
The propagation and evolution of long nonlinear internal solitary waves over slope-shelf topography is theoretically and numerically studied in a two-layer fluid system of finite depth. The variable Korteweg–de Vries (vKdV) and variable extended Korteweg–
Changhong Zhi, Ke Chen, Yunxiang You
doaj +1 more source
Brief communication: Modulation instability of internal waves in a smoothly stratified shallow fluid with a constant buoyancy frequency [PDF]
Unexpectedly large displacements in the interior of the oceans are studied through the dynamics of packets of internal waves, where the evolution of these displacements is governed by the nonlinear Schrödinger equation.
K. W. Chow +2 more
doaj +1 more source
PSI to turbulence during internal wave beam refraction through the upper ocean pycnocline [PDF]
A numerical study based on large eddy simulation (LES) is performed to investigate the nonlinear interaction of a semidiurnal (M2) internal wave beam with an upper ocean pycnocline.
Gayen, B., Sarkar, S.
core +1 more source
Examining Breaking Internal Waves on a Shelf Slope Using Numerical Simulations [PDF]
The subject of internal waves interacting with bottom topographic features in the ocean has received much attention in the past few decades. This heightened interest is mainly due to a conjecture that breaking internal waves at boundaries can be a ...
Subhas K. Venayagamoorthy +1 more
doaj
Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids [PDF]
Strongly nonlinear internal waves in a layer with arbitrary stratification are considered in the hydrostatic approximation. It is shown that "simple waves" having a variable vertical structure can emerge from a wide class of initial conditions.
L. A. Ostrovsky, K. R. Helfrich
doaj +1 more source
Nonlinear waves in solids with slow dynamics: an internal-variable model [PDF]
In heterogeneous solids such as rocks and concrete, the speed of sound diminishes with the strain amplitude of a dynamic loading (softening). This decrease known as "slow dynamics" occurs at time scales larger than the period of the forcing.
Berjamin, B +3 more
core +2 more sources

