Decay of Kadomtsev–Petviashvili lumps in dissipative media
Article
Article Title | Decay of Kadomtsev–Petviashvili lumps in dissipative media |
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ERA Journal ID | 352 |
Article Category | Article |
Authors | Clarke, S. (Author), Gorshkov, K. (Author), Grimshaw, R. (Author) and Stepanyants, Y. (Author) |
Journal Title | Physica D: Nonlinear Phenomena |
Journal Citation | 366, pp. 43-50 |
Number of Pages | 8 |
Year | 2018 |
Place of Publication | Netherlands |
ISSN | 0167-2789 |
1872-8022 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.physd.2017.11.009 |
Web Address (URL) | https://www.sciencedirect.com/science/article/pii/S0167278917303895 |
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. |
Keywords | Kadomtsev–Petviashvili equation; soliton; lump; dissipation; adiabatic theory; numerical calculations |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
510602. Plasma physics; fusion plasmas; electrical discharges | |
490109. Theoretical and applied mechanics | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Monash University |
Russian Academy of Sciences, Russia | |
University College London, United Kingdom | |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q48yx/decay-of-kadomtsev-petviashvili-lumps-in-dissipative-media
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