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A note on the existence of standing waves for one-dimensional wave-Schrödinger system

✍ Scribed by Hiroaki Kikuchi

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
291 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we study the existence of standing waves for one-dimensional wave-Schrödinger system. We use the Nehari method which is developed by Liu, Wang, and Wang [Z. Liu, Y. Wang, and Z.-Q. Wang, Solution for quasilinear Schrödinger equations via the Nehari Method, Comm. Partial Differential Equations 29 (2003) 879-901] to show this.

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On standing wave solutions to the Schröd
On standing wave solutions to the Schrödinger equation
✍ D.J Kouri; F.S Levin 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 437 KB

The standing wave solution to the Schriidinger equation defined in terms of the standing wave Green's function for the full Hamiltonian is discussed. This solution is compared with the more usual standing wave solution. The former is shown to be onehalf the sum of the usual ingoing and outgoing wave