Riemann–Hilbert method and multi-soliton solutions of the Kundu-nonlinear Schrödinger equation
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DOI: 10.1007/s11071-020-06102-7
Abstract: In this work, we study the Kundu-nonlinear Schrodinger (Kundu-NLS) equation (so-called the extended NLS equation), which can describe the propagation of the waves in dispersive media. A Lax spectral problem is used to construct the… read more here.
Keywords: riemann hilbert; kundu nonlinear; soliton solutions; solutions kundu ... See more keywords
Optical amplification and transmission of attenuated multi-soliton based on spectral characteristics of Akhmediev breather
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DOI: 10.1016/j.optcom.2020.125899
Abstract: Abstract We analyze temporal and spectral characteristics of Akhmediev breather and establish amplification and transmission of attenuated multi-soliton in nonlinear optical fiber. Our results show that the attenuated multi-soliton can be converted into Akhmediev breather… read more here.
Keywords: spectral characteristics; transmission; multi soliton; akhmediev breather ... See more keywords
Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory
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DOI: 10.1088/1751-8121/ab3f42
Abstract: Models that remain integrable even in confining potentials are extremely rare and almost non-existent. Here, we consider a one-dimensional hyperbolic interaction model, which we call as the Hyperbolic Calogero (HC) model. This is classically integrable… read more here.
Keywords: interaction model; soliton solutions; model; hyperbolic interaction ... See more keywords
Dissipative rogue waves generated by multi-soliton explosions in an ultrafast fiber laser.
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DOI: 10.1364/oe.459560
Abstract: Derived from oceanography, nowadays the investigation of rogue waves (RWs) has been widely spread in various fields, particularly in nonlinear optics. Passively mode-locked fiber laser has been regarded as one of the excellent platforms to… read more here.
Keywords: soliton; multi soliton; fiber laser; soliton explosions ... See more keywords