Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum
DOI10.1016/j.jmaa.2021.125635zbMath1489.35260arXiv2104.07301OpenAlexW3197671092MaRDI QIDQ2235983
Meisen Chen, Zhaoyu Wang, En-gui Fan
Publication date: 22 October 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07301
Riemann-Hilbert problemfocusing nonlinear Schrödinger equationsoliton resolution\( \overline{\partial}\) steepest descent methodhigh-order discrete spectrumnon-generic initial data
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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