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Article
Excitation of ion acoustic waves by self-focused q-Gaussian laser beam in plasma with axial density ramp
Dynamics of the laser-driven ion acoustic waves (IAWs) in plasmas with axial density ramp has been investigated theoretically. The effect of self-focusing of the laser beam on the power of laser excited IAW ha...
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Article
Self-compression of elliptical q-Gaussian laser pulse in plasmas with axial density ramp
Theoretical investigation on self-compression of a laser pulse with q-Gaussian spatial irradiance profile propagating through collisionless plasmas with axial density ramp has been presented. Particularly the dyn...
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Article
Stimulated Brillouin Scattering of Elliptical q-Gaussian Laser Beams in Plasmas with Axial Density Ramp: Effect of Self-Focusing
Theoretical investigation on stimulated Brillouin scattering of intense q-Gaussian laser beams interacting with axially nonuniform plasmas has been presented. A ramp-shaped density profile has modelled the axi...
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Article
Nonlinear interaction of Bessel–Gauss laser beams with plasmas with axial temperature ramp
Theoretical investigation on nonlinear interaction of intense Bessel–Gauss laser beams with plasma with axial temperature ramp has been presented. Emphasis is put on investigation of self-action effects of the...
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Article
Stimulated Raman scattering of self-focused elliptical q-Gaussian laser beam in plasma with axial density ramp: effect of ponderomotive force
The phenomenon of stimulated Raman scattering (SRS) of elliptical q-Gaussian laser beams interacting nonlinearly with underdense plasmas has been investigated theoretically. When an intense laser beam with freque...
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Article
Stimulated Raman Scattering of Cosh-Gaussian Laser Beams in Plasma with Axial Density Ramp: Effect of Self-Focusing
We present theoretical study of stimulated Raman scattering (SRS) of intense cosh-Gaussian (ChG) laser beams interacting with axially non-uniform plasmas. The axial inhomogeneity of the plasma is modeled by a ...
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Article
Optical guiding of q-Gaussian laser beams in radial density plasma channel created by two prepulses: ignitor and heater
Self-action effects (self focusing) and self phase modulation of q-Gaussian laser beam in plasma channel created by ignitor heater technique have been investigated theoretically. The ignitor beam causes tunnel io...
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Article
Mass spectra and thermodynamic properties of some heavy and light mesons
An energy eigenvalue expression for a sextic anharmonic interaction potential is derived by solving the Schrödinger equation analytically within the framework of the Nikiforov–Uvarov (NU) method. The resultant...
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Article
Nonlinear interaction of quadruple Gaussian laser beams with narrow band gap semiconductors
This paper presents an investigation on nonlinear propagation of quadruple Gaussian (Q.G) laser beam in narrowband semiconductor (e.g., n-type InSb) plasmas. In the presence of laser beam, the electron fluid i...
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Chapter and Conference Paper
Travelling and Solitary Wave Solutions of (2+1)-Dimensional Nonlinear Evoluation Equations by Using Khater Method
The most of the physical systems are nonlinear by nature which can be represented by various nonlinear partial differential equations. Here, we present a simple technique say Khater method to find the Travelli...
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Article
Relativistic effects on electron acceleration by elliptical q-gaussian laser beam driven electron plasma wave
Theoretical investigation on propagation dynamics of an elliptical q-Gaussian laser beam in a plasma by considering the relativistic mass nonlinearity of plasma electrons has been presented. The study is then ext...
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Article
Relativistic Effects on Stimulated Brillouin Scattering of Self-Focused q-Gaussian Laser Beams in Plasmas with Axial Density Ramp
We investigate the phenomenon of stimulated Brillouin scattering (SBS) of q-Gaussian laser beams nonlinearly-interacting with underdense plasmas. When an intense laser beam with frequency ω0 propagates through pl...
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Article
Effect of the magnetic field on the energy spectra of a quantum dot system
Analytical solutions to the radial Schrodinger equation are obtained for a two-dimensional two-electron quantum dot system within the framework of a general interaction potential using the Taylor expansion met...
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Article
Bound state solutions to the Schrödinger equation for some diatomic molecules
The bound state solutions to the radial Schrödinger equation are obtained in three-dimensional space using the series expansion method within the framework of a general interaction potential. The energy eigenv...
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Article
Quantum mechanics of \(\mathcal {P}\mathcal {T}\) and non- \(\mathcal {P}\mathcal {T}\) -symmetric potentials in three dimensions
With a view of exploring new vistas with regard to the nature of complex eigenspectra of a non-Hermitian Hamiltonian, the quasi-exact solutions of the Schrödinger equation are investigated for a shifted harmon...
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Article
Periodic and solitary wave solutions of cubic–quintic nonlinear reaction-diffusion equation with variable convection coefficients
Attempts have been made to explore the exact periodic and solitary wave solutions of nonlinear reaction diffusion (RD) equation involving cubic–quintic nonlinearity along with time-dependent convection coeffic...