TY - JOUR
T1 - The interaction of Airy waves and solitons in a three-wave system
AU - Mayteevarunyoo, Thawatchai
AU - Malomed, Boris A.
N1 - Publisher Copyright:
© 2017 IOP Publishing Ltd.
PY - 2017/8
Y1 - 2017/8
N2 - We employ the generic three-wave system, with the x(2) interaction between two components of the fundamental frequency (FF) wave and the second-harmonic (SH) wave, to consider the collisions of truncated Airy waves (TAWs) and three-wave solitons in a setting which is not available in other nonlinear systems. The advantage of this is that single-wave TAWs, carried by either one of the FF components, 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 the formation of a complex TAW-soliton bound state. At large velocities, the collisions become quasi-elastic.
AB - We employ the generic three-wave system, with the x(2) interaction between two components of the fundamental frequency (FF) wave and the second-harmonic (SH) wave, to consider the collisions of truncated Airy waves (TAWs) and three-wave solitons in a setting which is not available in other nonlinear systems. The advantage of this is that single-wave TAWs, carried by either one of the FF components, 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 the formation of a complex TAW-soliton bound state. At large velocities, the collisions become quasi-elastic.
KW - second-harmonic generation, spatial solitons, truncated Airy wave
UR - http://www.scopus.com/inward/record.url?scp=85026415941&partnerID=8YFLogxK
U2 - 10.1088/2040-8986/aa73ff
DO - 10.1088/2040-8986/aa73ff
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AN - SCOPUS:85026415941
SN - 2040-8978
VL - 19
JO - Journal of Optics (United Kingdom)
JF - Journal of Optics (United Kingdom)
IS - 8
M1 - 085501
ER -