Nonlinear theory of surface-helical instability of a semiconductor plasma. III. Analysis of nonlinear effects

1980 ◽  
Vol 23 (5) ◽  
pp. 378-382
Author(s):  
F. G. Karavaev ◽  
B. A. Uspenskii ◽  
N. L. Chuprikov
Keyword(s):  
Nonlinear Theory ◽  
Nonlinear Effects ◽  
Semiconductor Plasma

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.

Nonlinear effects in the squeezing spectrum of a parametric amplifier

1988 ◽  
Vol 66 (10) ◽  
pp. 854-858 ◽  
Author(s):  
H. R. Zaidi
Keyword(s):  
Linear Theory ◽  
Nonlinear Theory ◽  
Nonlinear Effects ◽  
Parametric Amplifier

A general nonlinear theory is formulated for the calculation of the squeezing spectrum of a parametric amplifier. The lowest order nonlinear corrections are calculated for both modes below the threshold, and the results are compared with linear theory. The corrections to the spectrum are found to be significant.

scholarly journals Weakly nonlinear theory for oscillating wave surge converters in a channel

2017 ◽  
Vol 834 ◽  
pp. 55-91 ◽  
Author(s):  
S. Michele ◽  
P. Sammarco ◽  
M. d’Errico
Keyword(s):  
Nonlinear Theory ◽  
Period Doubling ◽  
Nonlinear Effects ◽  
Side Band ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Theory ◽  
Natural Modes ◽  
Stokes Waves ◽  
Conversion Performance ◽  
Incident Waves

We present a weakly nonlinear theory on the natural modes’ resonance of an array of oscillating wave surge converters (OWSCs) in a channel. We first derive the evolution equation of the Stuart–Landau type for the gate oscillations in uniform and modulated incident waves and then evaluate the nonlinear effects on the energy conversion performance of the array. We show that the gates are unstable to side-band perturbations so that a Benjamin–Feir instability similar to the case of Stokes’ waves is possible. The non-autonomous dynamical system presents period doubling bifurcations and strange attractors. We also analyse the competition of two natural modes excited by one incident wave. For weak damping and power take-off coefficient, the dynamical effects on the generated power of the OWSCs are investigated. We show that the occurrence of subharmonic resonance significantly increases energy production.

scholarly journals NONLINEAR THEORY ON PARTICLE VELOCITY AND PRESSURE OF RANDOM WAVES

1986 ◽  
Vol 1 (20) ◽  
pp. 34
Author(s):  
Yi-Yu Kuo ◽  
Hwar-Ming Wang
Keyword(s):  
Particle Velocity ◽  
Nonlinear Theory ◽  
Power Spectra ◽  
Surface Displacement ◽  
Nonlinear Effects ◽  
Random Waves ◽  
Weakly Nonlinear ◽  
Directional Spectrum ◽  
Weakly Nonlinear Theory ◽  
Different Characteristics

In this paper, to the third approximation, we used the Fourierstieltjes integral rather than Fourier coefficient to develop a weakly nonlinear theory. From the theory, the nonlinear spectral components for water particle velocity and wave pressure can be calculated directly from the directional spectrum of water surface displacement. Computed results based on the nonlinear theory were compared with that of experiment made by Anastasiou (1982). Furthermore, in accordance with the different characteristics of wave properties, such as wave steepness, water depth and so on, the nonlinear effects on wave kinematic and pressure properties were extensively investigated by using some standard power spectra.

scholarly journals Nonlinear edge waves and shallow-water theory

1976 ◽  
Vol 74 (2) ◽  
pp. 369-374 ◽  
Author(s):  
A. A. Minzoni
Keyword(s):  
Shallow Water ◽  
Nonlinear Theory ◽  
Qualitative Agreement ◽  
Depth Distribution ◽  
Nonlinear Effects ◽  
Edge Waves ◽  
Shallow Water Theory ◽  
Water Edge ◽  
Constant Slope

Nonlinear effects are considered for shallow-water edge waves on beaches with a general depth distribution. The case of uniform depth away from the shoreline is considered in detail. It is shown that the results obtained are in qualitative agreement with those obtained by Whitham (1976) using the full nonlinear theory for a beach of constant slope.

The centrifugal instability of a Stokes layer: nonlinear theory

1977 ◽  
Vol 354 (1676) ◽  
pp. 119-126 ◽  
Keyword(s):  
Circular Cylinder ◽  
Linear Theory ◽  
Nonlinear Theory ◽  
Exponential Growth ◽  
Nonlinear Effects ◽  
Critical Value ◽  
Basic Flow ◽  
Supercritical Regime ◽  
Stokes Layer ◽  
Centrifugal Instability

It has recently been shown by Seminara & Hall (1976) th at a Stokes layer on an oscillating circular cylinder is unstable according to linear theory when the frequency of oscillation exceeds a certain critical value. In this paper it is shown how nonlinear effects prevent the exponential growth of disturbances when this frequency is exceeded. The flow obtained in the supercritical regime is found to be synchronous with the basic flow.

Nonlinear theory of surface-helical instability of a semiconductor plasma. II. Calculation of linear parameters

1980 ◽  
Vol 23 (4) ◽  
pp. 344-348
Author(s):  
G. F. Karavaev ◽  
B. A. Uspenskii ◽  
N. L. Chuprikov
Keyword(s):  
Nonlinear Theory ◽  
Semiconductor Plasma

Multiple Crossover Effects and Nonlinear Effects on Socio-Cultural Adjustment

2004 ◽  
Author(s):  
Riki Takeuchi ◽  
David P. Lepak ◽  
Sophia Marinova ◽  
Seokhwa Yun
Keyword(s):  
Nonlinear Effects ◽  
Cultural Adjustment ◽  
Crossover Effects
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