Title

Nonlinear Development Of Modulated Two-Dimensional Gravity Wavetrains In Deep Water

Abstract

This paper gives an analytic description of the nonlinear development of the modulational instability with the two-dimensional nonlinear (cubic) Schrodinger equation governing the evolution of a weakly nonlinear, deep-water gravity wavetrain and tries to shed some light on the previous numerical and analytical results on this problem. Toward this objective, the author first develops a proper formulation of the method of multiple scales to describe the long-time behaviour of the linearly unstable modulation near the threshold for linear instability for the two-dimensional case and investigate whether the nonlinear development of this modulation indicates a quasi periodic motion in the latter case.

Publication Date

12-1-1990

Publication Title

Journal of Physics A: General Physics

Volume

23

Issue

19

Number of Pages

4289-4295

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0305-4470/23/19/014

Socpus ID

0442288725 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0442288725

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