The propagation of dust ion acoustic waves (DIAWs) in a collisionless, unmagnetized inhomogeneous... more The propagation of dust ion acoustic waves (DIAWs) in a collisionless, unmagnetized inhomogeneous dusty plasma containing cold positive ions, cold positive and negative dust grains, and isothermal electrons is theoretically studied. Nonlinear DIAWs are shown to be governed by a variable coefficient Kortewege-de Vries (KdV) equation. At the critical density of ions both compressive and rarefactive modified KdV solutions co-exist. Below (above) this critical point the system supports rarefactive (compressive) solitons.
The modulational instability and the properties of nonlinear electron-acoustic rogue waves in an ... more The modulational instability and the properties of nonlinear electron-acoustic rogue waves in an unmagnetized collisionless four-component plasma system consisting of a cold electron fluid, non-thermal hot electrons, an electron beam and stationary ions are theoretically investigated. For this purpose, the nonlinear Schrödinger equation (NLSE) which governs the modulational instability and the propagation of the EA rogue waves is obtained using a reductive perturbation method (RPM). The dependence of rogue wave profiles and the modulational instability on the electron beam and energetic population parameter are discussed. The present results may be helpful in providing a good fit between the theoretical analysis and real applications in future spatial observations and laboratory plasma experiments.
Page 1. Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary... more Page 1. Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary Waves in Mesospheric Dusty Plasmas Sayed A. Elwakil, Mohamed T. Attia, Mohsen A. Zahran, Emad K. El-Shewy, and Hesham ...
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equatio... more The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude electron-acoustic waves. The Lagrangian of the time fractional KdV equation is used in similar form to the Lagrangian of the regular KdV equation. The variation of the functional of this Lagrangian leads to the Euler-Lagrange equation that leads to the time
Abstract: The reductive perturbation method has been employed to derive the Korteweg-de Vries (Kd... more Abstract: The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude ion-acoustic waves. The Lagrangian of the time fractional KdV equation is used in similar form to the Lagrangian of the regular ...
The propagation of dust ion acoustic waves (DIAWs) in a collisionless, unmagnetized inhomogeneous... more The propagation of dust ion acoustic waves (DIAWs) in a collisionless, unmagnetized inhomogeneous dusty plasma containing cold positive ions, cold positive and negative dust grains, and isothermal electrons is theoretically studied. Nonlinear DIAWs are shown to be governed by a variable coefficient Kortewege-de Vries (KdV) equation. At the critical density of ions both compressive and rarefactive modified KdV solutions co-exist. Below (above) this critical point the system supports rarefactive (compressive) solitons.
The modulational instability and the properties of nonlinear electron-acoustic rogue waves in an ... more The modulational instability and the properties of nonlinear electron-acoustic rogue waves in an unmagnetized collisionless four-component plasma system consisting of a cold electron fluid, non-thermal hot electrons, an electron beam and stationary ions are theoretically investigated. For this purpose, the nonlinear Schrödinger equation (NLSE) which governs the modulational instability and the propagation of the EA rogue waves is obtained using a reductive perturbation method (RPM). The dependence of rogue wave profiles and the modulational instability on the electron beam and energetic population parameter are discussed. The present results may be helpful in providing a good fit between the theoretical analysis and real applications in future spatial observations and laboratory plasma experiments.
Page 1. Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary... more Page 1. Effect of Higher-Order Corrections on the Propagation of Nonlinear Dust-Acoustic Solitary Waves in Mesospheric Dusty Plasmas Sayed A. Elwakil, Mohamed T. Attia, Mohsen A. Zahran, Emad K. El-Shewy, and Hesham ...
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equatio... more The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude electron-acoustic waves. The Lagrangian of the time fractional KdV equation is used in similar form to the Lagrangian of the regular KdV equation. The variation of the functional of this Lagrangian leads to the Euler-Lagrange equation that leads to the time
Abstract: The reductive perturbation method has been employed to derive the Korteweg-de Vries (Kd... more Abstract: The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude ion-acoustic waves. The Lagrangian of the time fractional KdV equation is used in similar form to the Lagrangian of the regular ...
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