scholarly journals Understanding and Prediction of Nonlinear Effects in Wave Propagation

2013 ◽  
Author(s):  
Dick K. Yue ◽  
Yuming Liu
Keyword(s):  
Wave Propagation ◽  
Nonlinear Effects

scholarly journals “Extraordinary” modulation instability in optics and hydrodynamics

2021 ◽  
Vol 118 (14) ◽  
pp. e2019348118
Author(s):  
Guillaume Vanderhaegen ◽  
Corentin Naveau ◽  
Pascal Szriftgiser ◽  
Alexandre Kudlinski ◽  
Matteo Conforti ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Stability Analysis ◽  
Linear Stability ◽  
Nonlinear Theory ◽  
Linear Stability Analysis ◽  
Water Waves ◽  
Modulation Instability ◽  
Nonlinear Effects ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Theory

The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report results of experiments in both optics and hydrodynamics, which are in excellent agreement with nonlinear theory. These observations clearly demonstrate that MI has a wider band of unstable frequencies than predicted by the linear stability analysis. The range of areas where the nonlinear theory of MI can be applied is actually much larger than considered here.

scholarly journals Magnetoacoustic Heating in Nonisentropic Plasma Caused by Different Kinds of Heating-Cooling Function

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Anna Perelomova
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Open System ◽  
Nonlinear Effects ◽  
Nonlinear Phenomena ◽  
Direct And Inverse Problems ◽  
Radiation Losses ◽  
Magnetoacoustic Waves ◽  
Magnetic Strength ◽  
Cooling Function

The nonlinear phenomena which associate with magnetoacoustic waves in a plasma are analytically studied. A plasma is an open system with external inflow of energy and radiation losses. A plasma’s flow may be isentropically stable or unstable. The nonlinear phenomena occur differently in dependence on stability or instability of a plasma’s flow. The nonlinear instantaneous equation which describes dynamics of nonwave entropy mode in the field of intense magnetoacoustic perturbations is the result of special projecting of the conservation equations in the differential form. It is analyzed in some physically meaningful cases; those are periodic magnetoacoustic perturbations and particular cases of heating-cooling function. A plasma is situated in the straight magnetic field with constant equilibrium magnetic strength which form constant angle with the direction of wave propagation. A plasma is initially uniform and equilibrium. The conclusions concern nonlinear effects of fast and slow magnetoacoustic perturbations and may be useful in direct and inverse problems.

Numerical Model of the Spherical Elastic Wave Propagation in a Nonlinear Medium

1991 ◽  
Vol 02 (01) ◽  
pp. 250-253 ◽  
Author(s):  
IGOR BERESNEV
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Numerical Model ◽  
Elastic Wave ◽  
Nonlinear Medium ◽  
Nonlinear Effects ◽  
Seismic Wave Propagation ◽  
Geological Medium ◽  
Nonlinear Elastic ◽  
Nonlinear Elastic Wave

There are new experimental results showing that nonlinear effects are significant in seismic wave propagation through the upper part of the geological medium [1]. Nevertheless, no adequate models exist in seismology to describe theoretically such events. I describe here an attempt to derive a wave equation for the spherical nonlinear elastic wave and to solve it numerically.

scholarly journals Nonlinear waves and nearshore currents over variable bathymetry in curve-shaped coastal areas

2019 ◽  
Vol 5 (4) ◽  
pp. 419-431 ◽  
Author(s):  
Francesco Gallerano ◽  
Giovanni Cannata ◽  
Federica Palleschi
Keyword(s):  
Wave Propagation ◽  
Surf Zone ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Nonlinear Effects ◽  
Coastal Areas ◽  
Navier Stokes ◽  
Swash Zone ◽  
Navier Stokes Equations ◽  
Nearshore Currents

AbstractIrregular coastlines and variable bathymetry produce nonlinear effects on wave propagation which play a significant role on the formation of nearshore currents. To protect the coastline from the erosional action of nearshore currents, it is usual to adopt coastal defence works such as submerged breakwaters. If properly designed, they give rise to circulation patterns capable to induce sedimentation of suspended material at the nearshore region. To numerically simulate the hydrodynamic effects of submerged breakwaters in irregular coastal areas, we use a numerical model which is based on an integral contravariant formulation of the three-dimensional Navier–Stokes equations in a time-dependent coordinate system. These equations are numerically solved by a non-hydrostatic shock-capturing numerical scheme which is able to simulate the wave propagation from deep water to the shoreline, including the surf zone and swash zone.

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