The regularity of the multiple higher‐order poles solitons of the NLS equation
From MaRDI portal
Publication:5141897
DOI10.1111/sapm.12338zbMath1478.35183OpenAlexW3088093082MaRDI QIDQ5141897
Yongshuai Zhang, Teng-Teng Yao, Xiang Xing Tao, Jing-Song He
Publication date: 22 December 2020
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12338
regularitynonlinear Schrödinger equationinitial value problemhigher-order polesRiemann-Hilbert problemQ
Related Items (14)
Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Multiple-high-order pole solutions for the NLS equation with quartic terms ⋮ \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm ⋮ Riemann-Hilbert approach for a higher-order Chen-Lee-Liu equation with high-order poles ⋮ Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions ⋮ Darboux transformation for nonlinear Schrödinger type hierarchies ⋮ Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions ⋮ Multiple-pole solutions and degeneration of breather solutions to the focusing nonlinear Schrödinger equation ⋮ Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method ⋮ 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 ⋮ Far-field asymptotics for multiple-pole solitons in the large-order limit ⋮ Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background
This page was built for publication: The regularity of the multiple higher‐order poles solitons of the NLS equation