Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5532
Abstract: In this paper, a coupled nonlinear Schrödinger (CNLS) equation, which can describe evolution of localized waves in a two‐mode nonlinear fiber, is under investigation. By using the Darboux‐dressing transformation, the new localized wave solutions of… read more here.
Keywords: coupled nonlinear; waves soliton; nonlinear schr; rogue waves ... See more keywords
The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-017-9426-x
Abstract: The Riemann–Hilbert problem for the coupled nonlinear Schrödinger equation is formulated on the basis of the corresponding $$3\times 3$$3×3 matrix spectral problem. Using the nonlinear steepest descent method, we obtain leading-order asymptotics for the Cauchy… read more here.
Keywords: dinger equation; coupled nonlinear; nonlinear schr; schr dinger ... See more keywords
Classical defects in higher-dimensional Einstein gravity coupled to nonlinear $$\sigma $$σ-models
Sign Up to like & getrecommendations! Published in 2017 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-017-2278-8
Abstract: We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $$\sigma $$σ-model with cosmological constant. The $$\sigma $$σ-model can be perceived as exterior configuration of a spontaneously-broken $$SO(D-1)$$SO(D-1) global higher-codimensional “monopole”. Here we allow the… read more here.
Keywords: sigma; gravity coupled; dimensional einstein; coupled nonlinear ... See more keywords
Dynamic learning of synchronization in coupled nonlinear systems
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DOI: 10.1007/s11071-024-10192-y
Abstract: Synchronization phenomena are pervasive in coupled nonlinear systems across the natural world and engineering domains. Understanding how to dynamically identify the parameter space (or network structure) of coupled nonlinear systems in a synchronized state is… read more here.
Keywords: learning synchronization; nonlinear systems; synchronization; synchronization coupled ... See more keywords
New structural dynamics of isolated waves via the coupled nonlinear Maccari’s system with complex structure
Sign Up to like & getrecommendations! Published in 2018 at "Indian Journal of Physics"
DOI: 10.1007/s12648-018-1204-6
Abstract: In this study, the modified exp $$(-\phi (\eta ))$$(-ϕ(η))-expansion function method is utilized in acquiring some new results to the coupled nonlinear Maccari’s system. The Maccari’s system is a nonlinear model that describes the dynamics… read more here.
Keywords: isolated waves; system; maccari system; dynamics isolated ... See more keywords
New exact solutions for coupled nonlinear system of ion sound and Langmuir waves
Sign Up to like & getrecommendations! Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01522-7
Abstract: In this work, our main goal is to study a new wave behavior of the nonlinear system associated with ionic wave equations under the influence of the ponderomotive force caused by a nonlinear force experienced… read more here.
Keywords: system; coupled nonlinear; nonlinear system; solutions coupled ... See more keywords
Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives
Sign Up to like & getrecommendations! Published in 2020 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2019.08.028
Abstract: Abstract In this paper, the homotopy analysis method (HAM) is presented to establish the accurate approximate analytical solutions for multi-degree-of-freedom (MDOF) coupled nonlinear oscillators with fractional derivatives. Approximate limit cycles (LCs) of two systems of… read more here.
Keywords: limit cycles; nonlinear oscillators; approximate limit; oscillators fractional ... See more keywords
Bilinear forms and bright-dark solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber
Sign Up to like & getrecommendations! Published in 2019 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2019.09.022
Abstract: Abstract Optical fiber communication becomes one of the main pillars of modern communication. In this paper, we study a coupled nonlinear Schrodinger system with variable coefficients, which can describe the simultaneous propagation of the M-field… read more here.
Keywords: dark solitons; bright dark; system variable; coupled nonlinear ... See more keywords
Pattern prediction in networks of diffusively coupled nonlinear systems
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DOI: 10.1016/j.ifacol.2018.12.093
Abstract: Abstract In this paper, we present a method aiming at pattern prediction in networks of diffusively coupled nonlinear systems. Interconnecting several globally asymptotical stable systems into a network via diffusion can result in diffusion-driven instability… read more here.
Keywords: pattern prediction; method; diffusively coupled; coupled nonlinear ... See more keywords
Dynamical behaviors of optical soliton for integrable three-component coupled nonlinear Schrödinger equation
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DOI: 10.1016/j.ijleo.2021.167092
Abstract: Abstract In this paper, a novel form of optical soliton solution for the integrable three-component coupled nonlinear Schrodinger equation on the vanishing background is investigated. Using algebraic iteration and generalized Darboux transformation, optical soliton solutions… read more here.
Keywords: integrable three; soliton; three component; optical soliton ... See more keywords
Investigating amplitude death in a coupled nonlinear aeroelastic system
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2020.103659
Abstract: Abstract Coupling nonlinear dynamical systems can lead to a host of phenomena, one of which leads to the complete cessation of their oscillations. This phenomenon is referred to as amplitude death (AD) in the dynamical… read more here.
Keywords: death; death coupled; investigating amplitude; nonlinear aeroelastic ... See more keywords