The nonlinear Schrödinger limit and the initial layer of the Zakharov equations

Tohru Ozawa, Yoshio Tsutsumi, H. Brezis

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We discuss the formation of the convergence of solutions for the Zakharov equations as the ion sound speed λ goes to infinity. We describe how the solutions tend to the corresponding solutions for the nonlinear Schrödinger equation and how the initial layer phenomena occur. A clear account is given of the relation between the convergence rate in λ and the formation of the initial layers.

Original languageEnglish
Pages (from-to)721-745
Number of pages25
JournalDifferential and Integral Equations
Volume5
Issue number4
Publication statusPublished - 1992
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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