Lump Interactions with Plane Solitons

Stepanyants, Yu. A. ORCID: https://orcid.org/0000-0003-4546-0310 and Zakharov, D. V. and Zakharov, V. E. (2022) Lump Interactions with Plane Solitons. Radiophysics and Quantum Electronics, 64 (10). pp. 665-680. ISSN 0033-8443


Abstract

We analyze in detail the interactions of two-dimensional solitary waves called lumps and one-dimensional line solitons within the framework of the Kadomtsev–Petviashvili equation describing wave processes in media with positive dispersion. We show that line solitons can emit or absorb lumps or periodic chains of lumps, as well as interact with each other by means of lumps. Within a certain time interval, lumps or lump chains can emerge between two line solitons and then disappear due to absorption by one of the solitons. This phenomenon resembles the appearance of rogue waves in the oceans. The results obtained are graphically illustrated and can be applicable to the description of the physical processes occurring in plasmas, fluids, solids, nonlinear optical media, etc.


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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: Current – Faculty of Health, Engineering and Sciences - School of Mathematics, Physics and Computing (1 Jan 2022 -)
Faculty/School / Institute/Centre: Current – Faculty of Health, Engineering and Sciences - School of Mathematics, Physics and Computing (1 Jan 2022 -)
Date Deposited: 19 Jul 2022 02:36
Last Modified: 19 Jul 2022 02:36
Uncontrolled Keywords: Kadomtsev-Petviashvili equation; soliton; lump; exact solution; Hirota method; tau-function
Fields of Research (2020): 51 PHYSICAL SCIENCES > 5103 Classical physics > 510301 Acoustics and acoustical devices; waves
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490107 Mathematical methods and special functions
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490199 Applied mathematics not elsewhere classified
Socio-Economic Objectives (2020): 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280118 Expanding knowledge in the mathematical sciences
28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280120 Expanding knowledge in the physical sciences
Identification Number or DOI: https://doi.org/10.1007/s11141-022-10169-0
URI: http://eprints.usq.edu.au/id/eprint/49957

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