2015
DOI: 10.1063/1.4929863
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Abstract: In the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations of the above described plasma are re-examined in the cylindrical coordinates through the use reductive perturbation method in the long-wave approximation. The modified cylindrical Korteweg–de Vries equation with fractional power nonlinearity is obtained as the e… Show more

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Cited by 28 publications
(31 citation statements)
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“…The time integration is performed using schemes such as Adams-Bashforth and Runge-Kutta etc. [20,21,23].…”
Section: B Initialization Of the Chaotic Wave Fieldmentioning
confidence: 99%
“…The time integration is performed using schemes such as Adams-Bashforth and Runge-Kutta etc. [20,21,23].…”
Section: B Initialization Of the Chaotic Wave Fieldmentioning
confidence: 99%
“…For the time integration of the KEE, we use the split-step Fourier scheme described in [6]. Briefly, in typical split-step Fourier schemes the spatial derivatives are evaluated using spectral techniques that employ Fourier transforms in periodic domains [16][17][18][19][20][21][22][23][24][25][26][27][28] and time stepping is performed by an exponential function. For the sake of brevity, we will not include the details of the split-step scheme of the KEE here.…”
Section: Spectra Of the Chaotic Wave Fieldmentioning
confidence: 99%
“…So that (7,8) can be solved numerically. In this study time integration is performed by a 4 th order Runge-Kutta method 7 , all spatial derivatives are calculated in the wavenumber domain and all multiplications for nonlinear terms are done in the physical space. Details of the numerical method used to solve this set of equations can be seen in 1 4 .…”
Section: Methodsmentioning
confidence: 99%