Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity

I Onder, A Secer, M Ozisik, M Bayram - Heliyon, 2023 - cell.com
We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse
propagation (PP) with perturbation effects, which has various applications in optical fibers …

[HTML][HTML] Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov's method

H Rezazadeh, N Ullah, L Akinyemi, A Shah… - Results in Physics, 2021 - Elsevier
In this work, we study the optical soliton solutions of the generalized non-autonomous
nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov's method (NKM) …

The (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation: its solitons and Jacobi elliptic function solutions

K Hosseini, S Salahshour, M Mirzazadeh… - The European Physical …, 2021 - Springer
The search for exact solutions of nonlinear evolution models with different wave structures
has achieved significant attention in recent decades. The present paper studies a nonlinear …

Stochastic solitons in birefringent fibers for Biswas–Arshed equation with multiplicative white noise via Itô calculus by modified extended mapping method

Y Alhojilan, HM Ahmed, WB Rabie - Symmetry, 2023 - mdpi.com
Stochastic partial differential equations have wide applications in various fields of science
and engineering. This paper addresses the optical stochastic solitons and other exact …

[HTML][HTML] Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime

L Akinyemi, M Şenol, MS Osman - Journal of Ocean Engineering and …, 2022 - Elsevier
The generalized Riccati equation mapping method (GREMM) is used in this paper to obtain
different types of soliton solutions for nonlinear Schrödinger equation with higher dimension …

A variety of solitons to the sixth-order dispersive (3+ 1)-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities

M Mirzazadeh, L Akinyemi, M Şenol, K Hosseini - Optik, 2021 - Elsevier
This study examines the exact soliton solutions under the effect of cubic-quintic-septic
nonlinearities for a sixth-order (3+ 1)-dimensional nonlinear time-fractional Schrödinger …

[HTML][HTML] An analytical technique to obtain traveling wave solutions to nonlinear models of fractional order

MDN Alam - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Abstract The (3, 3, 3) time-fractional Zakharov–Kuznetsov (TFZK) equation demonstrates the
characteristic of traffic flows, the viscoelasticity waves, the material science, sound waves …

Diverse optical soliton solutions of the fractional coupled (2+ 1)-dimensional nonlinear Schrödinger equations

MT Islam, MA Akbar, H Ahmad - Optical and Quantum Electronics, 2022 - Springer
Fractional nonlinear models involving the underlying mechanisms of numerous complicated
physical phenomena arising in nature of real world have been taken major place of research …

Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation

M Alquran, F Yousef, F Alquran, TA Sulaiman… - … and Computers in …, 2021 - Elsevier
In this paper, the conformable-time-fractional Klein–Fock–Gordon equation is considered
and solved using the Kudryashov-expansion method to extract dual-wave solutions. Only …

Consistent travelling waves solutions to the non-linear time fractional Klein–Gordon and Sine-Gordon equations through extended tanh-function approach

U Sadiya, M Inc, MA Arefin… - Journal of Taibah …, 2022 - Taylor & Francis
In this study, the extended tanh-function method has been used to find further general
travelling wave solutions for space-time fractional nonlinear partial differential equations …