Obliquely propagating skew KP lumps

Singh, N. and Stepanyants, Y. (2016) Obliquely propagating skew KP lumps. Wave Motion, 64. pp. 92-102. ISSN 0165-2125


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 / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 01 Jul 2016 06:53
Last Modified: 01 Jul 2016 06:53
Uncontrolled Keywords: skew lump; Kadomtsev–Petviashvili equation; soliton; multi-lumps
Fields of Research : 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
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.wavemoti.2016.03.005
URI: http://eprints.usq.edu.au/id/eprint/29039

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