Determination of boundaries of unsteady oscillatory zone in asymptotic solutions of non-integrable dispersive wave equations

G. A. El*, V. V. Khodorovskii, A. V. Tyurina

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

We propose a simple general method for analytic determination of the boundaries of the expanding nonlinear oscillation zone occurring in the decay of a step problem for non-integrable dispersive wave equations. A remarkable feature of the method is that it essentially uses only the dispersionless limit and the linear dispersion relation of the original nonlinear dispersive wave system. A concrete example pertaining to collisionless plasma dynamics is considered and complete agreement with the results of earlier numerical simulations is demonstrated.

Original languageEnglish
Pages (from-to)526-536
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume318
Issue number6
Early online date8 Oct 2003
DOIs
Publication statusPublished - 24 Nov 2003
Externally publishedYes

Fingerprint Dive into the research topics of 'Determination of boundaries of unsteady oscillatory zone in asymptotic solutions of non-integrable dispersive wave equations'. Together they form a unique fingerprint.

Cite this