Degenerate lump interactions within the Kadomtsev-Petviashvili equation

Zhang, Zhao and Li, Biao and Chen, Junchao and Guo, Qi and Stepanyants, Yury ORCID: https://orcid.org/0000-0003-4546-0310 (2022) Degenerate lump interactions within the Kadomtsev-Petviashvili equation. Communications in Nonlinear Science and Numerical Simulation, 112:106555. pp. 1-14. ISSN 1007-5704


Abstract

We consider the anomalous scattering of lumps – fully localised two-dimensional solitary waves – within the framework of the Kadomtsev–Petviashvili equation. Such entities can exist in media with positive dispersion. As has been established, lumps of equal amplitudes can experience anomalously slow interactions. They can also form stationary bound states — multilumps. The features of anomalous interactions of lumps and multilumps have not been studied yet in detail. Therefore, this work aims to find a simple and fast method to derive bound states of lumps and study anomalous interactions of multilumps. The asymptotic behaviour of lumps is analysed analytically and numerically, and the results obtained are illustrated graphically. The approach introduced in this paper can be generalised to other (2+1)-dimensional integrable systems.


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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 May 2022 23:53
Last Modified: 19 May 2022 23:53
Uncontrolled Keywords: Soliton; Lump; Bound state; Kadomtsev–Petviashvili equation; Anomalous scattering
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490107 Mathematical methods and special functions
51 PHYSICAL SCIENCES > 5103 Classical physics > 510399 Classical physics not elsewhere classified
Socio-Economic Objectives (2020): 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280120 Expanding knowledge in the physical sciences
28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280118 Expanding knowledge in the mathematical sciences
Identification Number or DOI: https://doi.org/10.1016/j.cnsns.2022.106555
URI: http://eprints.usq.edu.au/id/eprint/48511

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