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Gyrokinetic theory of toroidal Alfvén eigenmode saturation via nonlinear wave–wave coupling
Nonlinear wave–wave coupling constitutes an important route for the turbulence spectrum evolution in both space and laboratory plasmas. For example,...
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Applications of nonlinear longitudinal wave equation with periodic optical solitons wave structure in magneto electro elastic circular rod
In this research work, we utilized the auxiliary equation technique and extracted the optical soliton solutions to the nonlinear longitudinal wave...
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Bifurcation, Stability, and Nonlinear Parametric Effects on the Solitary Wave Profile of the Riemann Wave Equation
The enduring stability exhibited by solitons is strikingly demonstrated as a soliton pulse traverses an ideal lossless optical fibre, thereby...
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Exact solutions of cubic-quintic-septimal nonlinear Schrödinger wave equation
Nonlinear phenomena, characterized by behaviors that cannot be explained by linear systems and has significant challenges in understanding and...
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Fully nonlinear neuromorphic computing with linear wave scattering
The increasing size of neural networks for deep learning applications and their energy consumption create a need for alternative neuromorphic...
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Nonlinear wave propagation in a bistable optical chain with nonreciprocal coupling
The propagation of nonlinear waves, such as fires, weather fronts, and disease spread, has drawn attention since the dawn of time. A well-known...
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Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover
AbstractWe consider a liquid layer of a finite depth described by Euler’s equations. The ice cover is geometrically modeled by a nonlinear...
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A generalized nonlinear Schrödinger equation with logarithmic nonlinearity and its Gaussian solitary wave
In the current paper, a generalized nonlinear Schrödinger (gNLS) equation with logarithmic nonlinearity is studied as a model for the propagation of...
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Modulational instability, optical solitons and travelling wave solutions to two nonlinear models in birefringent fibres with and without four-wave mixing terms
The paper aims to construct optical solitons and travelling wave solutions to two birefringent nonlinear models which consist of two-component form...
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Systematic exploration of solitary wave characteristics for the high-order dispersive extended nonlinear Schrödinger model
Nonlinear dispersive waves influenced by higher–order dispersion effects play a pivotal role across various scientific disciplines. While numerical...
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On the exploration of solitary wave structures to the nonlinear Landau–Ginsberg–Higgs equation under improved F-expansion method
The improved F-expansion method is used in this work to investigate the nonlinear Landau–Ginsberg–Higgs (NLLGH) equation. The nonlinear...
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Evolution of Nonlinear Wave Pulses in the sine-Gordon Equation Theory
AbstractThe solution to the Whitham modulation equations for envelopes of one-phase periodic waves evolving according to the sine-Gordon equation is...
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Extraction of newly soliton wave structure to the nonlinear damped Korteweg–de Vries dynamical equation through a computational technique
The damped Korteweg-de Vries (D-KdV) equation is a significant extension of the Korteweg–de Vries equation, which plays an important role in...
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Solitary travelling wave profiles to the nonlinear generalized Calogero–Bogoyavlenskii–Schiff equation and dynamical assessment
This study focuses on the nonlinear generalized Calogero–Bogoyavlenskii–Schiff equation to explain the wave profiles in soliton theory. The improved...
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Quasiclassical Dynamics of Nonlinear Wave Systems
The paper presents a brief review of the quasiclassical wave dynamics for the nonlinear Schrödinger equation (NLSE) as applied to focusing and...
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Effect of noise on wave solitons for (3+1)-dimensional nonlinear Schrödinger equation in optical fiber
We investigated the wave solitons for stochastic (3+1)-dimensional nonlinear Schrödinger equation with multiplicative white noise in the Itô sense...
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The Functionally Invariant Solutions and Nonlinear Wave Equations
An overview of the application of the functionally invariant solutions method for the nonlinear wave equation is given. A generalization of this...
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Two-Dimensional Description of Nonlinear Wave Perturbations in the Dusty Saturn’s Magnetosphere
AbstractTwo-dimensional description of nonlinear dust-acoustic waves in the dusty Saturn’s magnetiosphere that contains electrons of two types (the...
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Dynamical analysis of optical soliton structures for wave propagation in nonlinear low-pass electrical transmission lines under effective approach
In this research work, we extracted the variety of newly optical soliton solutions which describe the wave propagation in nonlinear low-pass...
