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 …

An encyclopedia of Kudryashov's integrability approaches applicable to optoelectronic devices

M Ozisik, A Secer, M Bayram, H Aydin - Optik, 2022 - Elsevier
Purpose: In the last decades, many researchers have performed their best in order to find
the solution of the nonlinear evolution equations, nonlinear partial differential equations …

Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique

KK Ahmed, NM Badra, HM Ahmed… - Optical and Quantum …, 2023 - Springer
In this paper, we introduce the generalized Kundu-Eckhaus equation (KEE) with extra-
dispersion, which describes the propagation of the ultra-short femtosecond pulses in an …

New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method

K Hosseini, R Ansari - Waves in Random and Complex Media, 2017 - Taylor & Francis
In this paper, the nonlinear Boussinesq equations with the conformable time-fractional
derivative are solved analytically using the well-established modified Kudryashov method …

[HTML][HTML] Soliton solutions and other solutions for Kundu–Eckhaus equation with quintic nonlinearity and Raman effect using the improved modified extended tanh …

KK Ahmed, NM Badra, HM Ahmed, WB Rabie - Mathematics, 2022 - mdpi.com
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic
nonlinearity and Raman effect. By applying the improved modified extended tanh-function …

Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation

M Younis, TA Sulaiman, M Bilal… - Communications in …, 2020 - iopscience.iop.org
This paper studies the new families of exact traveling wave solutions with the modified
nonlinear Schrödinger equation, which models the propagation of rogue waves in ocean …

Optical solitons and conservation law of Kundu–Eckhaus equation

M Mirzazadeh, Y Yıldırım, E Yaşar, H Triki, Q Zhou… - Optik, 2018 - Elsevier
This paper obtains optical soliton solutions to the Kundu–Eckhaus equation with general
coefficients. The Riccati–Bernoulli's sub-ODE method as well as Kudryashov's scheme are …

Perturbation of dispersive optical solitons with Schrödinger–Hirota equation with Kerr law and spatio-temporal dispersion

N Ozdemir, A Secer, M Ozisik, M Bayram - Optik, 2022 - Elsevier
Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–
Hirota equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which …

On the examination of optical soliton pulses of Manakov system with auxiliary equation technique

M Ozisik, A Secer, M Bayram - Optik, 2022 - Elsevier
Purpose: This manuscript addresses to investigate the optical soliton solution of the
Manakov model which governs soliton transmission technology by utilizing the auxiliary …

[PDF][PDF] New solitary wave solutions of the Korteweg-de Vries (KdV) equation by new version of the trial equation method

Y Pandir, A Ekin - Electron. J. Appl. Math, 2023 - pdfs.semanticscholar.org
New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of
the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries …