A novel model for lasing cavities in the presence of population inversion: Bifurcation and stability analysis
HI Abdel-Gawad, M Tantawy - Chaos, Solitons & Fractals, 2021 - Elsevier
Very recently a discrete model for laser cavities in an external field, in the presence of
population inversion PI, was developed. Here, a model where attention is focused to a …
population inversion PI, was developed. Here, a model where attention is focused to a …
Bifurcation and new traveling wave solutions for (2+ 1)-dimensional nonlinear Nizhnik–Novikov–Veselov dynamical equation
ME Elbrolosy, AA Elmandouh - The European Physical Journal Plus, 2020 - epjplus.epj.org
The bifurcation theory for planar dynamical systems is applied to the traveling wave system
corresponding to the (2+ 1)(2+ 1)-dimensional nonlinear Nizhnik–Novikov–Veselov …
corresponding to the (2+ 1)(2+ 1)-dimensional nonlinear Nizhnik–Novikov–Veselov …
Shallow-water rogue waves: An approach based on complex solutions of the Korteweg–de Vries equation
A Ankiewicz, M Bokaeeyan, N Akhmediev - Physical Review E, 2019 - APS
The formation of rogue waves in shallow water is presented in this Rapid Communication by
providing the three lowest-order exact rational solutions to the Korteweg–de Vries (KdV) …
providing the three lowest-order exact rational solutions to the Korteweg–de Vries (KdV) …
On multi-fusion solitons induced by inelastic collision for quasi-periodic propagation with nonlinear refractive index and stability analysis
In this paper, the two-and three-soliton propagation of Sharma–Tasso–Olver (STO) equation
for inhomogeneous media (with a variable-coefficient) are obtained. It is shown, due to the …
for inhomogeneous media (with a variable-coefficient) are obtained. It is shown, due to the …
The exact solutions for Kudryashov and Sinelshchikov equation with variable coefficients
Abstract The Kudryashov and Sinelshchikov (KS) equation address pressure waves in liquid-
gas bubble mixtures while considering heat transport and viscosity. This study mainly …
gas bubble mixtures while considering heat transport and viscosity. This study mainly …
New exact solutions of time conformable fractional Klein Kramer equation
AA Alderremy, HI Abdel-Gawad, KM Saad… - Optical and Quantum …, 2021 - Springer
Abstract The Klein Kramer equation (KKE) stands for the probability distribution function
(PDF) that describes the diffusion of particles subjected an external force in the presence of …
(PDF) that describes the diffusion of particles subjected an external force in the presence of …
On multiple soliton similariton‐pair solutions, conservation laws via multiplier and stability analysis for the Whitham–Broer–Kaup equations in weakly dispersive media
In this article, the generalized unified method (GUM) is used for finding multiwave solutions
of the coupled Whitham‐Broer‐Kaup (WBK) equation with variable coefficients. Which …
of the coupled Whitham‐Broer‐Kaup (WBK) equation with variable coefficients. Which …
[HTML][HTML] Optical solitons and stability analysis with coupled nonlinear schrodinger's equations having double external potentials
We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type,
with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter …
with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter …
Fractional KdV and Boussenisq‐Burger's equations, reduction to PDE and stability approaches
HI Abdel‐Gawad, M Tantawy… - … Methods in the Applied …, 2020 - Wiley Online Library
The generalized fractional Caputo‐operator is discussed. The reduction of partial differential
equations retarded or advanced with delays is obtained. The applications to the space‐time …
equations retarded or advanced with delays is obtained. The applications to the space‐time …
Study of modulation instability and geometric structures of multisolitons in a medium with high dispersivity and nonlinearity
HI Abdel-Gawad - Pramana, 2021 - Springer
Highly dispersive and nonlinear Shrödinger equations (HDNLSEs), with seven degree
nonlinearity and six-order dispersion are relevant to study the propagation of optical waves …
nonlinearity and six-order dispersion are relevant to study the propagation of optical waves …