On the multi-waves, interaction and Peregrine-like rational solutions of perturbed Radhakrishnan–Kundu–Lakshmanan equation

YS Özkan, E Yaşar, AR Seadawy - Physica Scripta, 2020 - iopscience.iop.org
In this work, we consider the perturbed Radhakrishnan-Kundu-Lakshmanan equation (RKL)
which is the higher order nonlinear Schrödinger equation with cubic nonlinear terms in Kerr …

Construction of optical solitons of Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers

N Ullah, MI Asjad, H Ur Rehman, A Akgül - Nonlinear Engineering, 2022 - degruyter.com
In this article, we are attracted to discover the multiple-optical soiltons in birefringent fibers
for Radhakrishnan–Kundu–Lakshmanan equation (RKLE) by applying the Sardar …

Multi-wave, breather and interaction solutions to (3+ 1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing …

Y Sağlam Özkan, AR Seadawy… - Journal of Taibah …, 2021 - Taylor & Francis
In this study, based on the Hirota bilinear form, the exact analytic solutions of the (3+ 1)
dimensional Vakhnenko–Parkes equation with various physical properties were constructed …

[HTML][HTML] Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation

STR Rizvi, AR Seadawy, M Younis, I Ali, S Althobaiti… - Results in Physics, 2021 - Elsevier
In this paper, we investigate a reputed nonlinear partial differential equation (NLPDE) known
as geophysical Korteweg-de Vries (GPKdV) equation. We implement a renowned Unified …

Rational solutions, and the interaction solutions to the (2+ 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation

HF Ismael, A Seadawy, H Bulut - International Journal of Computer …, 2021 - Taylor & Francis
In this work, the Date–Jimbo–Kashiwara–Miwa (DJKM) equation include time-dependent in
(2+ 1)-dimensions that characterize the propagation of nonlinear dispersive waves in …

Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational …

M Bilal, AR Seadawy, M Younis, STR Rizvi - Optical and Quantum …, 2021 - Springer
In this article, we are interested to discuss the exact optical soiltons and other solutions in
birefringent fibers modeled by Radhakrishnan–Kundu–Lakshmanan equation in two …

Lump-soliton, lump-multisoliton and lump-periodic solutions of a generalized hyperelastic rod equation

STR Rizvi, AR Seadawy, M Younis, K Ali… - … Physics Letters B, 2021 - World Scientific
In this paper, we will obtain lump-soliton solution for (1+ 1)-dimensional generalized
hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear …

Breather-type and multi-wave solutions for (2+ 1)-dimensional nonlocal Gardner equation

YS Özkan, E Yaşar - Applied Mathematics and Computation, 2021 - Elsevier
In this work, different kinds of solutions including breather-type and multi-wave solutions are
obtained for the (2+ 1)-dimensional Gardner equation by using bilinear form, the extended …

New soliton solutions for resonant nonlinear Schrödinger's equation having full nonlinearity

KK Ali, H Rezazadeh, RA Talarposhti… - International Journal of …, 2020 - World Scientific
In this paper, we discuss deep visual solutions of resonant nonlinear Schrödinger's equation
having full nonlinearity via taking the modified Kudryashov method. There are four types of …

Various dynamic behaviors for the concatenation model in birefringent fibers

M Ekici, CA Sarmaşık - Optical and Quantum Electronics, 2024 - Springer
This study explores various wave phenomena related to the concatenation model, which is
characterized by the inclusion of the Kerr law of nonlinearity in birefringent fibers. Several …