N-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics

We report the novel colliding dynamics of the rogue waves (RWs) for a three-component transient stimulated Raman scattering system arising from nonlinear optics. The N -order RW solutions are constructed by utilizing the generalized Darboux transformation scheme. Then, the dynamics of the RWs are an...

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Bibliographic Details
Published inNonlinear dynamics Vol. 101; no. 4; pp. 2449 - 2461
Main Authors Li, Bang-Qing, Ma, Yu-Lan
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2020
Subjects
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Vibration
order rogue wave (RW) solutions
Colliding dynamics
Generalized Darboux transformation (GDT)
Transient stimulated Raman scattering (TSRS)
Peak and trough
Symmetrical structure
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ISSN0924-090X
1573-269X
DOI10.1007/s11071-020-05906-x

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Summary:We report the novel colliding dynamics of the rogue waves (RWs) for a three-component transient stimulated Raman scattering system arising from nonlinear optics. The N -order RW solutions are constructed by utilizing the generalized Darboux transformation scheme. Then, the dynamics of the RWs are analyzed. As N ≥ 2 , the multiple RWs collide towards a central point. During the collisions and interactions, the peaks and troughs increase greatly. It is also interesting and magical that all the RWs possess exquisite symmetrical structures.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-05906-x