The interaction of Airy waves and solitons in the three-wave system
Autor: | Thawatchai Mayteevarunyoo, Boris A. Malomed |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Physics
business.industry FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) 01 natural sciences Nonlinear Sciences - Pattern Formation and Solitons Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials 010309 optics Optics Nonlinear Sciences::Exactly Solvable and Integrable Systems Quantum electrodynamics 0103 physical sciences 010306 general physics business Nonlinear Sciences::Pattern Formation and Solitons Optics (physics.optics) Physics - Optics |
Popis: | We employ the generic three-wave system, with the $\chi ^{(2)}$ interaction between two components of the fundamental-frequency (FF) wave and second-harmonic (SH) one, to consider collisions of truncated Airy waves (TAWs) and three-wave solitons in a setting which is not available in other nonlinear systems. The advantage is that the single-wave TAWs, carried by either one of the FF component, are not distorted by the nonlinearity and are stable, three-wave solitons being stable too in the same system. The collision between mutually symmetric TAWs, carried by the different FF components, transforms them into a set of solitons, the number of which decreases with the increase of the total power. The TAW absorbs an incident small-power soliton, and a high-power soliton absorbs the TAW. Between these limits, the collision with an incident soliton converts the TAW into two solitons, with a remnant of the TAW attached to one of them, or leads to formation of a complex TAW-soliton bound state. At large velocities, the collisions become quasi-elastic. Comment: 14 pages, 16 figures, Journal of Optics, 2017, in press |
Databáze: | OpenAIRE |
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