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Article
Dynamics of M-truncated optical solitons in fiber optics governed by fractional dynamical system
This article focuses to extract the optical solitons in fiber optics modeled by (1 + 1)-dimensional coupled nonlinear Schrödinger equation (NLSE) by the assistance of truncated M-fractional derivative. Circularly...
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Article
Propagation of M-truncated optical pulses in nonlinear optics
This article discusses the Hamiltonian amplitude equation with the properties of truncated M-fractional derivative. The proposed equation governs certain instabilities of modulated wave trains. The optical pul...
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Article
On the study of optical soliton solutions to the three-component coupled nonlinear Schrödinger equation: applications in fiber optics
In this article, we have discussed the three-component coupled nonlinear Schrodinger equation which governs the optical solitons in fiber optics. There has been an increasing interest in studying multi-compone...
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Article
On the collision phenomena to the \((3+1)\) -dimensional generalized nonlinear evolution equation: Applications in the shallow water waves
In this article, we discuss the wave behavior to the \((3+1)\) ( 3
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Article
Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques
In this paper the optical pulses and other solitary wave solutions are extracted in dual-core optical fibers. The decoupled nonlinear Schrodinger equation is taken as a controlling equation. The model is compo...
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Article
On the optical soliton structures in the magneto electro-elastic circular rod modeled by nonlinear dynamical longitudinal wave equation
In this article, we focus on securing the different soliton and other solutions in the magneto electro-elastic (MEE) circular rod. The abundant solutions of the nonlinear longitudinal wave equation (NLWE) with...
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Article
New solitons and other solutions in saturated ferromagnetic materials modeled by Kraenkel–Manna–Merle system
This study reveals some new solitons solutions to the Kraenkel–Manna–Merle (KMM) system which describes the nonlinear ultra-short wave pulse motions in saturated ferromagnetic materials having external field w...
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Article
On the Exact Traveling Wave Solutions to the van der Waals p-System
This article possesses new exact wave structures to the the van der waals gas system in the viscosity-capillarity regularization version. The solutions are achieved in single and combined behavior like shock, ...
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Article
On the exact and numerical solutions to the coupled Boussinesq equation arising in ocean engineering
The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play a significant role in our daily activities. In this study, we investigate the coupled Boussinesq equation which arises...
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Article
On the new wave behavior to the Klein–Gordon–Zakharov equations in plasma physics
In this study, the extended sinh-Gordon equation expansion method is used in constructing various exact solitary wave solutions to the Klein–Gordon–Zakharov equations. The Klein–Gordon–Zakharov equations is a ...
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Article
New structural dynamics of isolated waves via the coupled nonlinear Maccari’s system with complex structure
In this study, the modified exp \((-\phi (\eta ))\) ...
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Article
Dynamic of solitary wave solutions in some nonlinear pseudoparabolic models and Dodd–Bullough–Mikhailov equation
In this study, the modified exp \( ( - \Phi (\eta )) \) ...