New wave behaviors and stability analysis of the Gilson–Pickering equation in plasma physics

KK Ali, R Yilmazer, HM Baskonus, H Bulut - Indian Journal of Physics, 2021 - Springer
This study investigates the Gilson–Pickering equation by using the sine-Gordon expansion
method. Sine-Gordon expansion method is one of the most powerful methods for solving the …

Propagation of dispersive wave solutions for -dimensional nonlinear modified Zakharov–Kuznetsov equation in plasma physics

KK Ali, AR Seadawy, A Yokus, R Yilmazer… - International Journal of …, 2020 - World Scientific
In the current study, we instigate the four-dimensional nonlinear modified Zakharov–
Kuznetsov (NLmZK) equation. The NLmZK equation guides the attitude of weakly nonlinear …

The shock peakon wave solutions of the general Degasperis–Procesi equation

L Qian, RAM Attia, Y Qiu, D Lu… - International Journal of …, 2019 - World Scientific
This research paper applies the modified Khater method and the generalized Kudryashov
method to the general Degasperis–Procesi (DP) equation, which is used to describe the …

Analytical solutions to the coupled Boussinesq–Burgers equations via Sine-Gordon expansion method

KK Ali, R Yilmazer, H Bulut - … and Engineering Sciences (CMES-2019) 4, 2020 - Springer
In the current study, we investigate the coupled Boussinesq-Burgers equations through sine-
Gordon expansion method. BBEs arises in the research of fluid flow and describes the …

Some novel optical solutions to the perturbed nonlinear Schrödinger model arising in nano-fibers mechanical systems

OA Ilhan, J Manafian, M Lakestani… - Modern Physics Letters …, 2022 - World Scientific
This paper aims to compute solitary wave solutions and soliton wave solutions based on the
ansatz methods to the perturbed nonlinear Schrödinger equation (NLSE) arising in nano …

[HTML][HTML] Obliquely propagating optical wave patterns to the (2+ 1)-dimensional chiral nonlinear Schrödinger equation in the absence and presence of Atangana …

KMA Al Woadud, D Kumar, AR Khan - Results in Physics, 2023 - Elsevier
The study aims to explore obliquely propagating optical wave solutions to the (2+ 1)-
dimensional chiral nonlinear Schrödinger (NLS) equation in both the absence and presence …

[PDF][PDF] Interaction solutions and abundant exact solutions for the new (3+ 1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics

JG Liu, WH Zhu, L Zhou - J. Appl. Anal. Comput, 2020 - jaac-online.com
In this work, we present the interaction solutions and abundant exact solutions for the new
(3+ 1)-dimensional generalized Kadomtsev-Petviashvili equation based on the Hirota's …

New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity

J Manafian, OA Ilhan, SY Mohyaldeen, SM Zeynalli… - Mathematical …, 2021 - Springer
In this article, the mitigating Internet bottleneck including quadratic–cubic nonlinearity
containing the ρ ρ-derivative has been considered that describes the control of Internet …