Skip to main content
SpringerLink
Log in

From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations

  • Original article
  • Published:
Mathematische Annalen Aims and scope Submit manuscript

Abstract.

We show that the solutions for the nonlinear Klein-Gordon equation can be described by using a system of two coupled nonlinear Schrödinger equations as the speed of light tends to infinity, in the strong topology of the energy space. Each solution of the two Schrödinger equations corresponds to a distinct mode of oscillation in time. We can also give a finer description in the case where one of them vanishes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Courant Institute, New York University, New York, NY 10012, USA , , , , , , US

    Nader Masmoudi

  2. Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan , , , , , , JP

    Kenji Nakanishi

Authors
  1. Nader Masmoudi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kenji Nakanishi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received; 18 November 2001 / Published online: 6 August 2002

Rights and permissions

Reprints and permissions

About this article

Cite this article

Masmoudi, N., Nakanishi, K. From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations . Math Ann 324, 359–389 (2002). https://doi.org/10.1007/s00208-002-0342-4

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00208-002-0342-4

Keywords

Search

Navigation