On an initial-boundary value problem for the nonlinear Schrödinger equation

We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem....

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Bibliographic Details
Main Author: Herbert Gajewski
Format: Article
Language:English
Published: Hindawi Limited 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171279000405