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
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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
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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
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
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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
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
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
Novel optical solitary waves and modulation instability analysis for the coupled nonlinear Schrödinger equation in monomode step-index optical fibers
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DOI: 10.1016/j.spmi.2017.12.010
Abstract: Abstract This paper addresses the coupled nonlinear Schrodinger equation (CNLSE) in monomode step-index in optical fibers which describes the nonlinear modulations of two monochromatic waves, whose group velocities are almost equal. A class of dark,… read more here.
Keywords: solitary waves; analysis; monomode step; step index ... See more keywords