On the interaction of non-linearity and dispersion in wave propagation : I. Boussinesq's equation

L.J.F. Broer

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Abstract

It is possible to approach non-linear optics from the point of view of field theory. The central problem then is the interaction of non-linearity and dispersion. A simple example of this phenomenon is furnished by Boussinesq’s equation in hydraulics. In this paper the derivation and the range of validity of this equation are discussed. It is shown that the equation can be reduced to one of a simpler type. Some properties of this reduced equation are given.
Original languageEnglish
Pages (from-to)273-285
JournalApplied Scientific Research, Section B
Volume11
Issue number3-4
DOIs
Publication statusPublished - 1964

Fingerprint Dive into the research topics of 'On the interaction of non-linearity and dispersion in wave propagation : I. Boussinesq's equation'. Together they form a unique fingerprint.

Cite this