Lump Interactions with Plane Solitons
Article
Article Title | Lump Interactions with Plane Solitons |
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Article Category | Article |
Authors | Stepanyants, Yu. A. (Author), Zakharov, D. V. (Author) and Zakharov, V. E. (Author) |
Journal Title | Radiophysics and Quantum Electronics |
Journal Citation | 64 (10), pp. 665-680 |
Number of Pages | 16 |
Year | 2022 |
Publisher | Springer |
Place of Publication | United States |
ISSN | 0033-8443 |
1573-9120 | |
Digital Object Identifier (DOI) | https://doi.org/10.1007/s11141-022-10169-0 |
Web Address (URL) | https://link.springer.com/article/10.1007/s11141-022-10169-0 |
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. |
Keywords | Kadomtsev-Petviashvili equation; soliton; lump; exact solution; Hirota method; tau-function |
ANZSRC Field of Research 2020 | 510301. Acoustics and acoustical devices; waves |
490107. Mathematical methods and special functions | |
490199. Applied mathematics not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | School of Mathematics, Physics and Computing |
Central Michigan University, United States | |
Lebedev Institute of the Russian Academy of Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q78qz/lump-interactions-with-plane-solitons
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