Decay of Kadomtsev–Petviashvili lumps in dissipative media

Clarke, S. and Gorshkov, K. and Grimshaw, R. and Stepanyants, Y. (2018) Decay of Kadomtsev–Petviashvili lumps in dissipative media. Physica D, 366. pp. 43-50. ISSN 0167-2789

Abstract

The decay of Kadomtsev–Petviashvili lumps is considered for a few typical dissipations—Rayleigh dissipation, Reynolds dissipation, Landau damping, Chezy bottom friction, viscous dissipation in the laminar boundary layer, and radiative losses caused by large-scale dispersion. It is shown that the straight-line motion of lumps is unstable under the influence of dissipation. The lump trajectories are calculated for two most typical models of dissipation—the Rayleigh and Reynolds dissipations. A comparison of analytical results obtained within the framework of asymptotic theory with the direct numerical calculations of the Kadomtsev–Petviashvili equation is presented. Good agreement between the theoretical and numerical results is obtained.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Access to published version in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 15 Feb 2018 06:22
Last Modified: 14 May 2018 04:34
Uncontrolled Keywords: Kadomtsev–Petviashvili equation; soliton; lump; dissipation; adiabatic theory; numerical calculations
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
02 Physical Sciences > 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics > 020204 Plasma Physics; Fusion Plasmas; Electrical Discharges
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.physd.2017.11.009
URI: http://eprints.usq.edu.au/id/eprint/33643

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