The asymptotic approach to the description of two-dimensional symmetric soliton patterns

Stepanyants, Yury ORCID: https://orcid.org/0000-0003-4546-0310 (2020) The asymptotic approach to the description of two-dimensional symmetric soliton patterns. Symmetry, 12 (10):1586.

[img]
Preview
Text (Published Version)
2020 Stepanyants - Symmetry.pdf
Available under License Creative Commons Attribution 4.0.

Download (1MB) | Preview

Abstract

The asymptotic approach is suggested for the description of interacting surface and internal oceanic solitary waves. This approach allows one to describe stationary moving symmetric wave patterns consisting of two plane solitary waves of equal amplitudes moving at an angle to each other. The results obtained within the approximate asymptotic theory are validated by comparison with the exact two-soliton solution of the Kadomtsev-Petviashvili equation (KP2-equation). The suggested approach is equally applicable to a wide class of non integrable equations too. As an example, the asymptotic theory is applied to the description of wave patterns in the 2D Benjamin–Ono equation describing internal waves in the infinitely deep ocean containing a relatively thin one of the layers.


Statistics for USQ ePrint 39718
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Date Deposited: 01 Oct 2020 02:02
Last Modified: 15 Feb 2021 23:34
Uncontrolled Keywords: Kadomtsev-Petviashvili equation; Benjamin–Ono equation; asymptotic theory; solitary waves; two-soliton solution; phase shift
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics
37 EARTH SCIENCES > 3708 Oceanography > 370803 Physical oceanography
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970104 Expanding Knowledge in the Earth Sciences
Identification Number or DOI: https://doi.org/10.3390/sym12101586
URI: http://eprints.usq.edu.au/id/eprint/39718

Actions (login required)

View Item Archive Repository Staff Only