Obliquely propagating skew KP lumps

Singh, N. and Stepanyants, Y. ORCID: https://orcid.org/0000-0003-4546-0310 (2016) Obliquely propagating skew KP lumps. Wave Motion, 64. pp. 92-102. ISSN 0165-2125


Abstract

Obliquely propagating skew lumps are studied within the framework of the Kadomtsev–Petviashvili equation with a positive dispersion (the KP1 equation). Specific features of such lumps are analysed in detail. It is shown that skew multi-lump solutions can be also constructed within the framework of such an equation. As an example, the bi-lump solution is presented in the explicit form, analysed and illustrated graphically. The relevance of skew lumps to the real physical systems is discussed.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Date Deposited: 01 Jul 2016 06:53
Last Modified: 15 Feb 2021 23:33
Uncontrolled Keywords: skew lump; Kadomtsev–Petviashvili equation; soliton; multi-lumps
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0105 Mathematical Physics > 010502 Integrable Systems (Classical and Quantum)
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
49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490202 Integrable systems (classical and quantum)
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
Identification Number or DOI: https://doi.org/10.1016/j.wavemoti.2016.03.005
URI: http://eprints.usq.edu.au/id/eprint/29039

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