Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions
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Publication:2234682
DOI10.1016/j.physleta.2021.127472OpenAlexW3169740474MaRDI QIDQ2234682
Publication date: 19 October 2021
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2021.127472
Riemann-Hilbert probleminverse scatteringnonzero boundary conditions\(N\)-triple-pole solitons and breathersfocusing NLS hierarchy
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Riemann-Hilbert approach for a higher-order Chen-Lee-Liu equation with high-order poles ⋮ Inverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation ⋮ Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region ⋮ Soliton dynamics to the Higgs equation and its multi-component generalization ⋮ Double and triple-pole solutions for the third-order flow equation of the Kaup-Newell system with zero/nonzero boundary conditions ⋮ The Riemann-Hilbert approach for the higher-order Gerdjikov-Ivanov equation, soliton interactions and position shift ⋮ Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds ⋮ Multiple higher-order pole solutions of modified complex short pulse equation ⋮ Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions ⋮ Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum ⋮ Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform
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