Structure of internal solitary waves in two-layer fluid at near-critical situation

Kurkina, O. and Singh, N. and Stepanyants, Y. (2015) Structure of internal solitary waves in two-layer fluid at near-critical situation. Communications in Nonlinear Science and Numerical Simulation, 22 (1-3). pp. 1235-1242. ISSN 1007-5704

Abstract

A new model equation describing weakly nonlinear long internal waves at the interface between two thin layers of different density is derived for the specific relationships between the densities, layer thicknesses and surface tension between the layers. The equation derived and dubbed here the Gardner–Kawahara equation represents a natural generalisation of the well-known Korteweg–de Vries (KdV) equation containing the cubic nonlinear term as well as fifth-order dispersion term. Solitary wave solutions are investigated numerically and categorised in terms of two dimensionless parameters, the wave speed and fifth-order dispersion. The equation derived may be applicable to wave description in other media.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Copyright 2014 Elsevier B.V. Permanent restricted access to published version due to publisher copyright policy.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 10 Feb 2015 23:56
Last Modified: 24 Jun 2016 01:36
Uncontrolled Keywords: two-layer fluid; internal wave; nonlinear evolution equation; solitary wave; stationary multi-soliton
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: 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
Identification Number or DOI: 10.1016/j.cnsns.2014.09.018
URI: http://eprints.usq.edu.au/id/eprint/26418

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