Optical solitons and closed form solutions to the (3+1)-dimensional resonant Schrödinger dynamical wave equation

U Younas, AR Seadawy, M Younis… - International Journal of …, 2020 - World Scientific
This paper investigates the new solitons and closed form solutions to (3+ 1) dimensional
resonant nonlinear Schrödinger equation (RNLSE) that explains the behavior of waves with …

New exact traveling wave solutions to the (2+ 1)-dimensional Chiral nonlinear Schrödinger equation

H Rezazadeh, M Younis, M Eslami… - … Modelling of Natural …, 2021 - mmnp-journal.org
In this research work, we successfully construct various kinds of exact traveling wave
solutions such as trigonometric like, singular and periodic wave solutions as well as …

Abundant complex wave solutions for the nonautonomous Fokas–Lenells equation in presence of perturbation terms

Y Ding, MS Osman, AM Wazwaz - Optik, 2019 - Elsevier
This paper mainly investigates the nonautonomous Fokas–Lenells equation (FLE) in
presence of perturbation terms. Bright–dark soliton solutions, Arbitrary solutions, similarity …

Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness

MF Uddin, MG Hafez, Z Hammouch… - Waves in Random and …, 2021 - Taylor & Francis
The nonlinear Schrodinger equation (NLSE) in (2+ 1) dimensions with beta derivative
evolution is considered here to study nonlinear coherent structures for Heisenberg models …

Novel optical solitons to the perturbed Gerdjikov–Ivanov equation with truncated M-fractional conformable derivative

MS Osman, A Zafar, KK Ali, W Razzaq - Optik, 2020 - Elsevier
The generalized Riccati equation (GRE) together with the basic simplest equation method
(SEM) is investigated to deal with the nonlinear fractional differential equations. This method …

[HTML][HTML] Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods

MF Uddin, MG Hafez, Z Hammouch… - Alexandria Engineering …, 2021 - Elsevier
This work is reported the analytical solutions for describing the nonlinear directional
couplers with metamaterials by including spatial–temporal fractional beta derivative …

Optical solutions to the Kundu-Mukherjee-Naskar equation: mathematical and graphical analysis with oblique wave propagation

D Kumar, GC Paul, T Biswas, AR Seadawy… - Physica …, 2020 - iopscience.iop.org
This paper retrieves some new optical solutions to the Kundu–Mukherjee–Naskar (KMN)
equation in the context of nonlinear optical fiber communication systems. In this regard, a …

Highly dispersive optical solitons with cubic–quintic–septic law by exp-expansion

A Biswas, M Ekici, A Sonmezoglu, MR Belic - Optik, 2019 - Elsevier
Highly dispersive optical solitons with cubic–quintic–septic law by exp-expansion -
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A (3+ 1)-dimensional resonant nonlinear Schrödinger equation and its Jacobi elliptic and exponential function solutions

K Hosseini, M Matinfar, M Mirzazadeh - Optik, 2020 - Elsevier
The current study is concerned with a (3+ 1)-dimensional resonant nonlinear Schrödinger
(3D-RNLS) equation with diverse applications in nonlinear optics and its exact solutions. In …

[HTML][HTML] Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution

MG Hafez, SA Iqbal, S Akther, MF Uddin - Results in Physics, 2019 - Elsevier
This study deal with the oblique plane wave solutions with dynamical behaviours for (2+ 1)-
dimensional resonant nonlinear Schrodinger equations having Bhom's quantum potential …