The onset of turbulence is one of the outstanding problems of theoretical physics [Landau & Lifshitz, 1987; Frisch, 1995]. A seminal contribution to this study was brought about by Ruelle and Takens, who described the onset of turbulence as a sequence of Hopf bifurcations yielding a chaotic attractor in the system phase space [Ruelle & Takens, 1971; Newhouse et al., 1978]. In spite of the recen...

Nonlinear excitation of the entropy perturbations by magnetosonic waves in a uniform and infinite plasma model is considered. The wave vector slow or fast mode forms an arbitrary angle θ (0≤θ≤π) with equilibrium straight magnetic field, all are functions time longitudinal coordinate. Thermal conduction only factor which destroys isentropicity causes nonlinear mode. A dynamic equation derived de...

In this talk, we present efficient and stable numerical methods for the generalized Zakharov system (GZS) describing the propagation of Langmuir waves in plasma. The key point in designing the methods is based on a time-splitting discretization of a Schroedinger-type equation in GZS, and to discretize a nonlinear wave-type equation by pseudospectral method for spatial derivatives, and then solv...

In the UCLA plasma beat wave accelerator, a high intensity two frequency CO2 laser ~l1510.6 mm, l2510.3 mm! is used to drive a large amplitude relativistic plasma wave. The plasma wave acts as a moving phase grating and scatters the incident pump waves into Stokes and anti-Stokes sidebands ~v12vp , v21vp!. The observation of these sidebands in the forward direction confirms the presence of the ...

Zonal flows are azimuthally symmetric plasma potential perturbations spontaneously generated from small-scale drift-wave fluctuations via the action of Reynolds stresses. We show that, after initial linear growth, zonal flows can undergo further nonlinear evolution leading to the formation of long-lived coherent structures which consist of self-bound wave packets supporting stationary shear lay...

The excitation and propagation of finite-amplitude low-frequency solitary waves are investigated in an argon plasma impregnated with kaolin dust particles. A nonlinear longitudinal dust acoustic solitary wave is excited by pulse modulating the discharge voltage with a negative potential. It is found that the velocity of the solitary wave increases and the width decreases with the increase of th...

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In this paper, the fractional partial differential equations are defined by modified Riemann-Liouville fractional derivative. With the help of fractional derivative and fractional complex transform, these equations can be converted into the nonlinear ordinary differential equations. By using solitay wave ansatz method, we find exact analytical solutions of the space-time fractional Zakharov Kuz...

Acoustic signals generated by filamentation of ultrashort terawatt laser pulses in water are characterized experimentally. Measurements reveal a strong influence of input pulse duration on the shape and intensity of the acoustic wave. Numerical simulations of the laser pulse nonlinear propagation and the subsequent water hydrodynamics and acoustic wave generation show that the strong acoustic e...