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The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh method
(IOP Publishing, 2021)
In this study, we investigate the nonlinear Zoomeron equation by using the extended rational sin − cos and sinh − cosh methods. We successfully constructed some important solutions such as singular periodic wave, periodic ...
A mathematical model of the ongoing coronavirus disease (COVID-19) pandemic: A case study in Turkey
(Thammasat University, 2022)
Turkey reported the first case of COVID-19 on 11 March 2020 since the outbreak of the deadly coronavirus pandemic. COVID-19 spread rapidly in Turkey, where about a total of 3,208,173 cases of infected persons were registered ...
Soliton solutions of the Boussinesq equation via an efficient analytical technique
(World Scientific, 2022)
In this paper, we consider the Boussinesq equation which is an important equation and it is widely used in coastal engineering, harbors, shallow seas and water wave to model weakly nonlinear and long wave approximation. ...
The study of nonlinear dispersive wave propagation pattern to Sharma-Tasso-Olver-Burgers equation
(World Scientific, 2023)
Abstract
This paper discusses the wave propagation to the nonlinear Sharma-Tasso-Olver-Burgers (STOB) equation which is used as the governing model in different fields. Natural phenomena are typically complex and nonlinear, ...
Extraction of new optical solitons and MI analysis to three coupled Gross–Pitaevskii system in the spinor Bose–Einstein condensate
(World Scientific Publishing, 28.02.2021)
This article investigates the optical solitons to the three coupled Gross–Pitaevskii (GP) system (also called the non-linear Schrödinger (NLS) equation), which describes the F=1F=1 spinor Bose–Einstein condensate, with FF ...
Modulation instability analysis and optical solitons of the generalized model for description of propagation pulses in optical fiber with four non-linear terms
(World Scientific, 2021)
Abstract In this article, we investigate the optical soiltons and other solutions to Kudryashov's equation (KE) that describe the propagation of pulses in optical fibers with four non-linear terms. Non-linear Schrodinger ...
The M-fractional improved perturbed nonlinear Schrödinger equation: Optical solitons and modulation instability analysis
(World Scientific, 2021)
Abstract In order to obtain some novel analytical solutions for fractional improved nonlinear Schrodinger equation with perturbation, the polynomial expansion, simplest equation and extended sine-Gordon expansion schemes ...
Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator
(World Scientific, 2021)
Abstract In some of the previous decades, we have observed that mathematical modeling has become one of the most interesting research fields and has attracted many researchers. In this regard, thousands of researchers have ...
Propagation of diverse ultrashort pulses in optical fiber to Triki-Biswas equation and its modulation instability analysis
(World Scientific, 2021)
Abstract This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki-Biswas model equation. The aforesaid model equation is the generalization of the ...
Solitary wave solutions of chiral nonlinear Schrödinger equations
(World Scientific, 2021)
Abstract This paper presents the (1+1)-dimensional chiral nonlinear Schrödinger equation (1DCNLSE) and (2+1)-dimensional chiral nonlinear Schrödinger equation (2DCNLSE) that define the edge states of the fractional quantum ...
