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Optical solitons and other solutions to the Radhakrishnan-Kundu-Lakshmanan equation
(Elsevier, 08.07.2021)
This paper studies the perturbed Radhakrishnan–Kundu–Lakshmanan (RKL) equation and its special form, the generalized RKL equation. Kerr law nonlinearity is considered for both equations. The Riccati-Bernoulli sub-ODE ...
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 ...
Optical solitons to the Fokas system equation in monomode optical fbers
(Springer Nature, 2022)
Abstract In this work, we investigate the Fokas system which expresses the nonlinear pulse propagation in mono-mode optical fbers. We use the ( m + 1 G� ) -expansion scheme and the novel modifed generalized exponential ...
On the optical soliton structures in the magneto electro‑elastic circular rod modeled by nonlinear dynamical longitudinal wave equation
(Springer Nature, 2022)
In this article, we focus on securing the diferent soliton and other solutions in the magneto electro-elastic (MEE) circular rod. The abundant solutions of the nonlinear longitudinal wave equation (NLWE) with dispersion ...
Invariant optical soliton solutions to the Coupled‑Higgs equation
(Springer Nature, 2022)
Abstract In the present study, through the generalized exponential rational function method (GERFM), we construct optical soliton solution to the coupled-Higgs equation (CHE). The proposed method is one of the most powerful ...
Lump interaction phenomena to the nonlinear ill-posed Boussinesq dynamical wave equation
(Elsevier, 2022)
Abstract In this manuscript, we discuss the dynamical behavior of ill-posed Boussinesq (IPB) dynamical wave equation. This equation depicts how long wave made in shallow water propagates due to the influence of gravity. ...
The weakly non‑linear waves propagation for Kelvin – Helmholtz instability in the magnetohydrodynamics fow impelled by fractional theory
(Springer Nature, 2023)
Abstract The weakly nonlinear wave propagation that occurs in the presence of magnetic felds, in which energy is concentrated in a narrow band of wave-numbers in a dispersive and dissipative fuid. The main objective of ...
Optical solitons to the Perturbed Gerdjikov‑Ivanov equation with quantic nonlinearity
(Springer Nature, 2023)
Abstract In this article, we examine the Perturbed Gerdjikov-Ivanov equation by using the Jacobi elliptic function expansion method. This results in obtaining distinct solutions including dark, bright, singular solitons, ...
On finding closed-form solutions to some nonlinear fractional systems via the combination of multi-laplace transform and the adomian decomposition method
(Publishing House of the Romanian Academy, 2022)
In this article, two-and three-dimensional nonlinear fractional partial differential systems are solved by employing the methods of double and triple Laplace-Adomian decomposition. The applicability of these methods is ...
Lump collision phenomena to a nonlinear physical model in coastal engineering
(Multidisciplinary Digital Publishing Institute (MDPI), 2022)
Abstract: In this study, a dimensionally nonlinear evolution equation, which is the integrable shallow water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump solutions are achieved by its ...
