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Open AccessNew analytical wave structures of the \((3+1)\) -dimensional extended modified Ito equation of seventh-order
Partial differential equations are frequently employed to depict issues arising across various scientific and engineering domains. Efforts have been made to analytically solve these equations, revealing shortc...
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Article
Modulation instability spectrum and rogue waves of the repulsive lattices
In this work, the modulation instability and solitonic rogue waves are addressed in the repulsive lattice formed by identical particles with nearest neighbor couplings. We use the multiple scale method to deri...
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Open AccessOn the Van der Waals model on granular matters with truncated M-fractional derivative
In this work, exact solutions of the Van der Waals model (vdWm) are investigated with a new algebraic analytical method. The closed-form analysis of the vdW equation arising in the context of the fluidized gra...
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The optical exact soliton solutions of Shynaray-IIA equation with \(\Phi ^6\) -model expansion approach
This paper investigates the Shynaray-IIA equation (S-IIAE), a type of partial differential parametric equation, using the \(\Phi ^6\) ...
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Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study
This study employs the new extended direct algebraic method and improved sardar sub-equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which characterizes phenomena like tidal...
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Novel topological, non-topological, and more solitons of the generalized cubic p-system describing isothermal flux
In fluid dynamics, mixed-type systems of conservation laws model a wide range of phase transition problems in compressible media. This analysis studies analytically the time-fractional mixed-type hyperbolic-el...
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Modulation instability and nonlinear coupled-mode excitations in single-wall carbon nanotube
In this paper, we investigate the dynamics of coupled nonlinear waves and the modulated wave patterns in a single-wall carbon nanotube. We use an external on-site potential and the Brenner potential to derive ...
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Article
Modulation instability in nonlinear acoustic metamaterials with coupling coefficients
In this paper, the modulation instability is analyzed in a novel model of coupled pairs of chains with coupling coefficient parameters. We derive the coupled system of the nonlinear equation by using the Linds...
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Article
Peculiar optical solitons and modulated waves patterns in anti-cubic nonlinear media with cubic–quintic nonlinearity
In this work, we investigate diverse analytical solutions and modulation instability of the nonlinear Schrödinger equation with an anti-cubic nonlinear term. We use the traveling wave transformation and the Ne...
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Dynamics of diverse wave propagation to integrable Kraenkel–Manna–Merle system under zero dam** effect in ferrites materials
In this study, we investigate the nonlinear dynamics of solitary waves in saturated ferromagnetic materials with an external field of zero conductivity. Here, we talk about how dam** mechanisms affect the Kr...
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Quantum analysis of nonlinear optics in Kerr affected saturable nonlinear media and multiplicative noise: a path to new discoveries
Solitons are characterized by their ability to maintain their shape and velocity as they propagate through a medium, and are also known for their stability against mutual collisions. However, it is crucial to ...
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Article
Exact traveling wave solutions of generalized fractional Tzitz \(\acute{e}\) ica-type nonlinear evolution equations in nonlinear optics
In mathematics, physics, and engineering, establishing numerical or analytical solutions for fractional mathematical models for specific phenomena and develo** fractional mathematical models for specific phe...
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Explicit exact solutions and conservation laws in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity
In this paper, we studied a nonlinear wave equation that models the propagation of optical solutions in a weakly nonlocal and parabolic competing nonlinear medium. The exact traveling wave type solutions formu...
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Integrability, multi-solitons, breathers, lumps and wave interactions for generalized extended Kadomtsev–Petviashvili equation
In this paper, we take into consideration a general form of the extended Kadomtsev–Petviashvili equation, which has several applications in applied sciences and engineering. The Painlevé analysis via WTC–Krusk...
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Nonlinear generation modes in easy-axis anisotropy ferromagnetic spin chains with nearest-neighbor coupling
In this paper, we consider the Heisenberg ferromagnetic lattices with single-ion easy-axis anisotropy to show the effects of the nearest-neighbor coupling on discrete modulation instability and localized energ...
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An efficient technique for generalized conformable Pochhammer–Chree models of longitudinal wave propagation of elastic rod
In this article, we introduce analytical-approximate solutions of time-fractional generalized Pochhammer-Chree equations for wave propagation of elastic rod by means of the q-homotopy analysis of the transform me...
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Numerical simulation of a binary alloy of 2D Cahn–Hilliard model for phase separation
The interfacial dynamics of a system are significant in understanding the system’s behavior. One of the special models of these systems which naturally arises in material sciences is the phase separation (or s...
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Modulated waves patterns in the photovoltaic photorefractive crystal
In this paper, we investigated the propagation of the modulated waves (MWs) patterns with the effects of the external field (EF) in a photorefractive crystal. To do so, we use the coupled nonlinear Schrödinger...
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Novel liquid crystals model and its nematicons
This analysis utilizes the generalized Riccati simple equation method to construct nematicons in liquid crystals from its governing system. A new type of nonlinearity is studied for the first time in the conte...
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Article
New explicit soliton solutions for the generalized coupled integrable disperssionless system
The \(\big (\frac{G^{\prime }}{G}\big )\) ( ...
