The forced nonlinear Schrödinger equation

DOI10.1016/0167-2789(86)90164-8zbMath0593.35077OpenAlexW2010024845MaRDI QIDQ1076254

D. J. Kaup, P. J. Hansen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90164-8

zbMATH Keywords

numerical resultsnonlinear Schrödinger equationsolitonsnonlinear boundary value

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for partial differential equations, boundary value problems (65N99)

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A quantum mechanics analogy for the nonlinear Schrödinger equation in the finite line, The nonlinear Schrödinger equation in the finite line, Comments on the inverse scattering transform for the forced Toda lattice, Interaction of a moving dipole with a soliton in the KdV equation, The Korteweg-de Vries model with boundary forcing, Phase-amplitude dynamics of the nonlinear Schrödinger equation with rapid forcing, On a forced modified KdV equation., Generalized solutions to the cubic Schrödinger equation, The perturbed cubic Schrödinger equation: Selection mechanism, resonant limits, and spatial chaos, On the prediction of the number of solitons excited by an arbitrary potential: An observation from inverse scattering

Cites Work

• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems