Search Results - "Khater, Mostafa M.A."
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1
Physics of crystal lattices and plasma; analytical and numerical simulations of the Gilson–Pickering equation
Published in Results in physics (01-01-2023)“…In this study, we use cutting-edge analytical and numerical approaches to the Gilson–Pickering (GP) problem in order to get precise soliton solutions. This…”
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2
Computational and numerical wave solutions of the Caudrey–Dodd–Gibbon equation
Published in Heliyon (01-02-2023)“…The Caudrey–Dodd–Gibbon (CDG) model, a variation of the fifth–order KdV equation (fKdV) with significant practical consequences, is solved in this study using…”
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3
Modified extended tanh-function method and its applications to the Bogoyavlenskii equation
Published in Applied mathematical modelling (01-02-2016)“…In this study, we consider exact traveling wave solutions of the Bogoyavlenskii equation using a modified extended tanh-function method. This method has a…”
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4
Computational and numerical solutions to the Benney–Luke equation: Insights into nonlinear long wave dynamics in dispersive media
Published in Alexandria engineering journal (01-01-2025)“…The current investigation seeks to explore the nonlinear Benney–Luke model, a governing equation pertinent to the propagation of extended waves within…”
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5
Pfaffian solutions and nonlinear dynamics of surface waves in two horizontal and one vertical directions with dispersion, dissipation and nonlinearity effects
Published in Alexandria engineering journal (01-12-2024)“…This study delves into the exploration of the (3+1)-dimensional generalized nonlinear fractional Konopelchenko–Dubrovsky–Kaup–Kupershmidt (GFKDKK) system, a…”
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6
Diverse Soliton wave solutions of for the nonlinear potential Kadomtsev–Petviashvili and Calogero–Degasperis equations
Published in Results in physics (01-02-2022)“…This paper investigates the soliton wave structures of the nonlinear potential Kadomtsev–Petviashvili and Calogero–Degasperis equations by employing the direct…”
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7
Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method
Published in Results in physics (01-06-2021)“…•The Boussinesq equation is studied.•The bell-shape soliton, kink, singular kink, compacton, contracted bell-shape soliton, periodic soliton, anti-bell shape…”
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8
Accurate computational simulations of perturbed Chen–Lee–Liu equation
Published in Results in physics (01-02-2023)“…This research aims to look into alternative unique solitary wave solutions to the perturbed Chen–Lee–Liu (CLL) equation to explain the kinetic and physical…”
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9
Computational solutions of the HIV-1 infection of CD4+T-cells fractional mathematical model that causes acquired immunodeficiency syndrome (AIDS) with the effect of antiviral drug therapy
Published in Chaos, solitons and fractals (01-10-2020)“…This paper investigates the exact traveling wave solutions of the fractional model of the human immunodeficiency virus (HIV-1) infection for CD4+T-cells. This…”
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10
A study of optical wave propagation in the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity
Published in Results in physics (01-06-2019)“…•Different optical wave solutions for the vcSHE are investigated.•Performance was done using the strategy of the Unified Method.•Physical explanations are…”
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11
Novel exact solutions of the fractional Bogoyavlensky–Konopelchenko equation involving the Atangana-Baleanu-Riemann derivative
Published in Alexandria engineering journal (01-10-2020)“…The main goal of this paper is to discover some new analytical solutions of a fractional form of the Bogoyavlensky–Konopelchenko equation via two new…”
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12
Analytically and numerically, dispersive, weakly nonlinear wave packets are presented in a quasi-monochromatic medium
Published in Results in physics (01-03-2023)“…This study applies computational and numerical techniques to develop some novel and accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of…”
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13
Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
Published in Results in physics (01-12-2021)“…The main goal of this study is to find solutions for the fractional model of the fifth-order weakly nonlocal Schrödinger equation incorporating nonlinearity of…”
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14
Unidirectional shallow water wave model; Computational simulations
Published in Results in physics (01-11-2022)“…This article delves into new solitary wave solutions for the unidirectional Dullin–Gottwald–Holm (DGH) model. Dynamical characterizations of wave prorogation…”
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15
Analytical and hybrid numerical simulations for the (2+1)-dimensional Heisenberg ferromagnetic spin chain
Published in Results in physics (01-12-2022)“…In this study, we investigate the solitary wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain (HFSC). New solitary wave solutions are…”
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16
Ultra-short pulses generation’s precise influence on the light transmission in optical fibers
Published in Results in physics (01-06-2022)“…In this study, the numerical simulation of the fractional nonlinear third-order Schrödinger (3-FNLS) problem is processed by applying the novel homotopy…”
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17
New optical solitons of perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion
Published in Results in physics (01-10-2021)“…The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical…”
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18
Nonlinear dispersion in parabolic law medium and its optical solitons
Published in Results in physics (01-07-2021)“…This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE) involving parabolic law of nonlinearity with the presence of…”
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19
Numerical and computational investigation of soliton propagation in physical systems via computational schemes: (1+1)-dimensional MNW integrable equation
Published in Results in physics (01-07-2023)“…This study utilizes computational and numerical techniques to investigate the (1+1)-dimensional Mikhailov–Novikov–Wang (MNW) integrable equation, a nonlinear…”
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20
Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field
Published in Alexandria engineering journal (01-02-2021)“…This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the…”
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