The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line

DOI10.1016/j.physd.2010.11.004zbMath1220.37062arXiv1008.5379OpenAlexW2962788919MaRDI QIDQ633713

Jonatan Lenells

Publication date: 29 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5379

zbMATH Keywords

initial-boundary value problemintegrable systemsderivative nonlinear Schrödinger equationDirichlet-to-Neumann map

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (7)

The derivative nonlinear Schrödinger equation on the half line ⋮ General soliton solutions to a coupled Fokas-Lenells equation ⋮ Revised Riemann-Hilbert problem for the derivative nonlinear Schrödinger equation: vanishing boundary condition ⋮ A necessary and sufficient condition for the solvability of the nonlinear Schrödinger equation on a finite interval ⋮ Higher-order rogue wave solutions of a general coupled nonlinear Fokas-Lenells system ⋮ Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of `self-steepening' nonlinearity ⋮ A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup–Newell equation

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