On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons

Stepanyants, Yury (2006) On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons. Chaos, Solitons and Fractals, 28 (1). pp. 193-204. ISSN 0960-0779

Abstract

Detailed analysis of solitary and periodic stationary solutions of the reduced Ostrovsky equation is presented. The full Ostrovsky equation was derived in 1978 for oceanic waves affected by Earth rotation, and its reduced form without small-scale dispersion was pointed out in his original paper and then, derived later by many authors in different physical contexts. However, some aspects of stationary solutions to the last equation remained unclear so far. An attempt to introduce clarity to this problem is undertaken in this paper.


Statistics for USQ ePrint 5720
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author version unavailable.
Depositing User: Assoc Prof Yury Stepanyants
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 16 Dec 2009 20:55
Last Modified: 02 Jul 2013 23:24
Uncontrolled Keywords: reduced Ostrovsky equation,internal waves, rotating ocean
Fields of Research (FOR2008): 01 Mathematical Sciences > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: doi: 10.1016/j.chaos.2005.05.020
URI: http://eprints.usq.edu.au/id/eprint/5720

Actions (login required)

View Item Archive Repository Staff Only