Absence of solitons for the defocusing NLS equation on the half-line

DOI10.1007/s11005-016-0867-1zbMath1351.35184arXiv1412.3495OpenAlexW2963317015MaRDI QIDQ315454

Jonatan Lenells

Publication date: 21 September 2016

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3495

zbMATH Keywords

initial-boundary value problemasymptoticssoliton

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Cites Work

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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• On the Dirichlet to Neumann problem for the 1-dimensional cubic NLS equation on the half-line
• Solution of the forced nonlinear schrödinger (nls) equation using pde techniques
• Initial‐Boundary Value Problems for the Defocusing Nonlinear Schrödinger Equation in the Semiclassical Limit
• The nonlinear Schrödinger equation on the half-line

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