Breakdown of the modulational approximation in a multimode extension of the triplet interaction

E. Peter, S. Marini, A.T. Chávez and F.B. Rizzato

Physica A: Statistical Mechanics and its Applications, 2016, vol. 463, issue C, 103-110

Abstract: The present work investigates the breakdown of the modulational approximation in a multimode extension of the three wave nonlinear interaction. The modulational approach provides a simplified framework to describe the triplet interaction in regimes where the carrier frequency is much larger than the modulational frequency. The approach is frequently stretched to its limits and beyond, and in the present work we argue that those limits can be in fact quite restrictive. At very small couplings we show that all modes exhibit slow amplitude modulations, but as the coupling increases a transition soon takes place and the modes jump to a new dynamical regime where none can be any longer seen as slowly modulated high-frequency harmonic carriers. Estimates for the critical coupling and relaxation times can be obtained with proper analysis of the most unstable triplet (Iorra et al., 2015).

Keywords: Nonlinear waves; Three wave interaction (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437116304411
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:463:y:2016:i:c:p:103-110

DOI: 10.1016/j.physa.2016.07.010

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().