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
Copyright Status
Unknown
Socpus ID
0442288725 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0442288725
STARS Citation
Shivamoggi, B. K., "Nonlinear Development Of Modulated Two-Dimensional Gravity Wavetrains In Deep Water" (1990). Scopus Export 1990s. 1440.
https://stars.library.ucf.edu/scopus1990/1440