Lump Interactions with Plane Solitons

We analyze in detail the interactions of two-dimensional solitary waves called lumps and onedimensional 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 period...

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Published inRadiophysics and quantum electronics Vol. 64; no. 10; pp. 665 - 680
Main Authors Stepanyants, Yu. A., Zakharov, D. V., Zakharov, V. E.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2022
Springer
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Astroparticles
Chains
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nonlinear optics
Nuclear Physics
Observations and Techniques
Oceans
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Plasmas (physics)
Quantum Optics
Solitary waves
Theoretical
Water waves
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Summary:We analyze in detail the interactions of two-dimensional solitary waves called lumps and onedimensional 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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-022-10169-0