Initial‐Boundary Value Problems for the Defocusing Nonlinear Schrödinger Equation in the Semiclassical Limit

DOI10.1111/sapm.12075zbMath1314.35166arXiv1406.7797OpenAlexW1938334490MaRDI QIDQ5249061

Peter D. Miller, Zhen-Yun Qin

Publication date: 29 April 2015

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7797

zbMATH Keywords

inverse problemasymptoticsDirichlet-to-Neumann mapdefocusing nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items

Absence of solitons for the defocusing NLS equation on the half-line ⋮ Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method ⋮ Dispersive Asymptotics for Linear and Integrable Equations by the ∂ ¯ $$\overline {\partial }$$ Steepest Descent Method ⋮ Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions ⋮ On the generation of dispersive shock waves ⋮ Nonlinear Fourier Transforms and the mKdV Equation in the Quarter Plane

Uses Software

• DLMF

Cites Work

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