New optical solitary wave solutions of Fokas-Lenells equation in presence of perturbation terms by a novel approach

MS Osman, B Ghanbari - Optik, 2018 - Elsevier
A variety of new optical waves solutions of the Fokas-Lenells equation in presence of
perturbation terms is investigated. A new approach is used, namely the generalized …

New complex waves in nonlinear optics based on the complex Ginzburg-Landau equation with Kerr law nonlinearity

MS Osman, B Ghanbari, JAT Machado - The European Physical Journal …, 2019 - Springer
A variety of new complex waves representing solutions of the complex Ginzburg-Landau
equation with Kerr law nonlinearity is investigated. Two different approaches are used …

[HTML][HTML] New analytical wave structures for the (3+ 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications

D Lu, KU Tariq, MS Osman, D Baleanu, M Younis… - Results in Physics, 2019 - Elsevier
Different types of soliton wave solutions for the (3+ 1)-dimensional Kadomtsev-Petviashvili
and the generalized Boussinesq equations are investigated via the solitary wave ansatz …

Optical solitons with quadratic–cubic nonlinearity and fractional temporal evolution

KU Tariq, M Younis, H Rezazadeh… - … Physics Letters B, 2018 - World Scientific
The paper studies the single and combined optical solitons in the physical model of
telecommunication system that describes the dynamics of optical solitons with quadratic …

Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions

R Silambarasan, HM Baskonus, RV Anand… - … and Computers in …, 2021 - Elsevier
The axisymmetric longitudinal waves propagating in the long infinite cylindrical rod
composed of material and structural constants, combinedly called as general …

Modified Kudryashov method to solve generalized Kuramoto-Sivashinsky equation

A Kilicman, R Silambarasan - Symmetry, 2018 - mdpi.com
The generalized Kuramoto–Sivashinsky equation is investigated using the modified
Kudryashov method for the new exact solutions. The modified Kudryashov method converts …

[HTML][HTML] Exact solutions of the generalized nonlinear Fokas-Lennells equation

A Ebaid, ER El-Zahar, AF Aljohani, B Salah, M Krid… - Results in Physics, 2019 - Elsevier
Two different schemes are applied to the generalized nonlinear Fokas-Lennells equation for
obtaining possible optical solitonic solutions at general orders of nonlinearities. It is known …

[HTML][HTML] Abundant closed-form solitary solutions of a nonlinear neurobiological model for analyzing numerous signal transmission behaviors through the neuron using …

M Al-Amin, MN Islam, MA Akbar - Partial Differential Equations in Applied …, 2024 - Elsevier
This study is to construct the solitary wave solutions to the nonlinear Fitzhugh-Nagumo (FN)
model. The Fitzhugh-Nagumo (FN) model is a simplification form of the Hodgkin-Huxley …

[HTML][HTML] APPLICATION OF THE KUDRYASHOV METHOD FOR FINDING EXACT SOLUTIONS OF THE SCHAMEL--KAWAHARA EQUATION

GG Oswaldo, LR Alejandro… - Russian Journal of …, 2022 - cyberleninka.ru
Recently, motivated by the interest in the problems of nonlinear dynamics of cylindrical
shells, AI Zemlyanukhin et al.(Nonlinear Dyn., 2019, vol. 98, pp. 185-194) established the so …

Exact traveling wave solutions to general FitzHugh-Nagumo equation

SP Joseph - Nonlinear Dynamics and Applications: Proceedings of …, 2022 - Springer
A general FitzHugh–Nagumo equation is considered in this paper and new traveling wave
exact solutions for this nonlinear partial differential equation are derived. This nonlinear …