The modulational instability mechanisms of intense Langmuir oscillations in a plasma are reviewed both for field energy densities below (Zakharov's model) and above (Silin's model) the plasma's thermal energy density. It is shown by a one-dimensional example that V E Zakharov's mechanism involving nonlinear absorption of plasma waves also holds for intense cold plasma fields described by V P Silin's model. It is also shown that the development mechanisms of the modulational instability of Langmuir oscillations are similar for nonisothermal and cold plasmas. Hybrid models treating the electrons quasi-hydrodynamically and the ions as particles are analyzed in detail which allow the study of the direct mechanism by which energy is transferred to ions in the process as an instability develops.

Keywords: modulational instability, parametric instability, non-isothermal and cold plasmas, Zakharov's model, Silin's model, hybrid models PACS: 52.35.−g, 52.65.−y (all) DOI: 10.3367/UFNe.2016.01.037697 URL: https://ufn.ru/en/articles/2016/7/c/ 000386357600003 2-s2.0-84991688548 2016PhyU...59..669Z Citation: Zagorodnii A G, Kirichok A V, Kuklin V M "One-dimensional modulational instability models of intense Langmuir plasma oscillations using the Silin—Zakharov equations" Phys. Usp. 59 669–688 (2016) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 7th, December 2015, accepted: 14th, January 2016 Оригинал: Загородний А Г, Киричок А В, Куклин В М «Одномерные модели модуляционной неустойчивости интенсивных ленгмюровских колебаний в плазме на основе уравнений Захарова и Силина» УФН 186 743–762 (2016); DOI: 10.3367/UFNr.2016.01.037697