### 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 language | English (US) |
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Pages (from-to) | 721-745 |

Number of pages | 25 |

Journal | Differential and Integral Equations |

Volume | 5 |

Issue number | 4 |

State | Published - Jan 1 1992 |

### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

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## Cite this

Ozawa, T., Tsutsumi, Y., & Brezis, H. (1992). The nonlinear Schrödinger limit and the initial layer of the Zakharov equations.

*Differential and Integral Equations*,*5*(4), 721-745.