Research Article

Existence of periodic traveling wave solutions for the Ostrovsky equation

  1. Naoyuki Ishimura1,*,
  2. Tetsu Mizumachi2

Article first published online: 4 FEB 2008

DOI: 10.1002/mma.990

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 31, Issue 14, pages 1646–1652, 25 September 2008

Additional Information

How to Cite

Ishimura, N. and Mizumachi, T. (2008), Existence of periodic traveling wave solutions for the Ostrovsky equation. Math. Meth. Appl. Sci., 31: 1646–1652. doi: 10.1002/mma.990

Author Information

  1. 1

    Department of Mathematics, Graduate School of Economics, Hitotsubashi University, Kunitachi, Tokyo 186-8601, Japan

  2. 2

    Graduate School of Mathematical Sciences, Kyushu University, Hakozaki, Fukuoka 812-8581, Japan

*Department of Mathematics, Graduate School of Economics, Hitotsubashi University, Kunitachi, Tokyo 186-8601, Japan

Publication History

  1. Issue published online: 7 AUG 2008
  2. Article first published online: 4 FEB 2008
  3. Manuscript Received: 11 DEC 2005

Funded by

  • Japan Society for Promotion of Sciences. Grant Numbers: 14740106, 16540184

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Keywords:

  • Ostrovsky equation;
  • periodic traveling wave;
  • variational methods

Abstract

We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyright © 2008 John Wiley & Sons, Ltd.

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