modulational instability
Zonal Flow Generation in Toroidally Confined Plasmasthrough Modulational Instability of Drift Waves
... by modulational instability is discussed in a simple slab geometry, both in cold and hot ion ...a modulational instability criterion is fulfilled, zonal flow will be spontaneously generated ...
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EVOLUTION OF MODULATIONAL INSTABILITY IN TRAVELLING WAVE SOLUTION OF NON-LINEAR PARTIAL DIFFERENTIAL EQUATION
... We applied Ritz variational method to construct a model function between linear and non-linear evolution of modulational instability. Spatial variance of trial function was assumed a priori while time ...
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Impact of Quantum Fluctuations on the Modulational Instability of a Modified Gross Pitaevskii Equation with Two Body Interaction
... Modulational instability conditions for the generation of localized structures in the context of matter waves in Bose- Einstein condensates are investigated analytically and ...the modulational ...
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Theoretical Modelling of Modulational Instability of a Lower Hybrid Wave in a Complex Plasma
... Abstract—The modulational instability of a lower hybrid wave is investigated in a dusty plasma slab by developing a non-local theory of this four wave parametric interaction ...
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MODULATIONAL INSTABILITY OF THREE DIMENSIONAL WAVES IN A PLASMA WITH VORTEX ELECTRON DISTRIBUTION
... The modulational instability of the homogeneous harmonic solution is investigated and the criteria for the instability is discussed as a function of the obliqueness ...
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Nonlinear evolution of the modulational instability under weak forcing and damping
... of modulational instability in the field, the role of wind upon this instability in the presence of dissipation needs to be ...to modulational instability, encounter an exponential ...
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Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations
... The phenomenon of modulational instability (MI) can be defined as self-induced break up of an initially homo- geneous wave during its evolution in a nonlinear medium. Study of this phenomenon has been ...
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MODULATIONAL INSTABILITY OF ION-ACOUSTIC WAVE IN PLASMAS WITH TWO ELECTRON TEMPERATURE DISTRIBUTION
... The modulational instability of ion-acoustic waves in a two-electron temperature plasma has been studied by Sharma and Buti [37] for parallel ...for modulational instability reduces, which ...
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Modulational instability and higher order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers
... We consider the integrable generalization of the nonlinear Schrödinger equation that arises as a model for nonlinear pulse propagation in monomode optical fibers. The existent conditions for its modulational ...
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Numerical Simulation of Water Waves’ Modulational Instability under the Effects of Wind’s Stress and Gravity Force Relaxation
... of modulational instability theories such as the standard NLSE in order to better understand the contribution of wind and water viscosity to modulations of driven waves’ amplitudes (or phases): modulations ...
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Modulational instability and wave amplification in finite water depth
... than modulational instability (class-I) were included in the ...class-II instability becomes dominant for initial wave trains of steepness as low as ...
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Modulational instability of Rossby and drift waves and generation of zonal jets
... the modulational instability with direct numerical simulations (DNS), comparing them with the solutions of the four-mode truncated (4MT) and the three-mode truncated (3MT) ...pairing instability sets ...
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Modulational instability of solitary waves in nondegenerate three-wave mixing : the role of phase symmetries
... The influence of extra phase symmetries on MI of soli- tary waves is still an open issue and is the main sub- ject of the present Letter. We will concentrate on non- degenerate 3WM as a typical and practically important ...
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On a laser (3+1)-dimensional vectorial cubic-quintic complex Ginzburg-Landau equation and modulational instability
... especially the disintegration of the plane wave solutions into nonlinear waves patterns. 396.[r] ...
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Remarks on nonlinear relation among phases and frequencies in modulational instabilities of parallel propagating Alfv´en waves
... in modulational instability of circularly polarized Alfv´en waves are discussed, within the context of one dimensional, dissipation-less, unforced fluid ...ulational instability of Alfv´en ...the ...
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Landau-fluid simulations of Alfv´en-wave instabilities in a warm collisionless plasma
... the instability is of modu- lational or decay type, but always results in a dominant ion heating in the parallel ...decay-type instability ions and electrons display perpen- dicular cooling, while for ...
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Solitons, Breathers and Rogue Waves in Nonlinear Media
... Later on, the same group of authors presented an exhaustive theoretical explanation of various aspects of rogue waves in their various works; for example, by modulating a plane wave with weakly random waves, a chaotic ...
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Occurrence of extreme waves in three-dimensional mechanically generated wave fields propagating over an oblique current
... triggered modulational instability on otherwise stable wave trains and hence induced the development of very large amplitude ...wave instability with a subsequent increase of the probability of ...
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Derivation of the Nonlinear Schrödinger Equation by The Derivative Perturbation Expansion Method
... Abstract— The Zonal flow is an important phenomenon in the physics of plasma fusion. Due to its shearing property, it suppresses turbulence in plasma and thus enhance its confinement. This enhancement in confinement time ...
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The life cycle of drift wave turbulence driven by small scale instability
... a modulational instability of the small-scale modes which are directly excited by the instability, (ii) the ZF’s feed back on the small-scale modes and suppress them via a nonlocal mechanism which ...
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