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

DOI10.1007/s11071-020-05906-xzbMath1517.78005OpenAlexW3083439049MaRDI QIDQ6132379

Bang-Qing Li, Yu-Lan Ma

Publication date: 16 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05906-x

zbMATH Keywords

symmetrical structure\(N\)-order rogue wave (RW) solutionscolliding dynamicsgeneralized Darboux transformation (GDT)peak and troughtransient stimulated Raman scattering (TSRS)

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items (8)

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Cites Work

• Unnamed Item
• A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
• Generation and control of multiple solitons under the influence of parameters
• The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
• Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers
• N-solitons, breathers and rogue waves for a generalized Boussinesq equation
• General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
• METHOD FOR FINDING MULTI-SOLITON SOLUTIONS OF THE STIMULATED RAMAN SCATTERING EQUATIONS

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