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Modulation instability and rogue waves for the sixth-order nonlinear Schrödinger equation with variable coefficients on a periodic background

Shi, Wei ; Zhaqilao

Nonlinear dynamics, 2022-09, Vol.109 (4), p.2979-2995 [Periódico revisado por pares]

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Título:
Modulation instability and rogue waves for the sixth-order nonlinear Schrödinger equation with variable coefficients on a periodic background
Autor: Shi, Wei ; Zhaqilao
Assuntos: Automotive Engineering ; Classical Mechanics ; Coefficients ; Control ; Dynamical Systems ; Engineering ; Mechanical Engineering ; Modulation ; Original Paper ; Partial differential equations ; Schrodinger equation ; Vibration
É parte de: Nonlinear dynamics, 2022-09, Vol.109 (4), p.2979-2995
Descrição: In this paper, rogue wave solutions of a sixth-order focusing nonlinear Schrödinger (NLS) equation with variable coefficients are investigated on a periodic background. To get the results, we take advantage of Darboux transformation approach and the nonlinearization of spectral problem and we firstly find one kind of rogue wave solution that evolves periodically with time on a periodically spatial background. Besides, we also find this kind of rogue wave solution dissipates over time. Modulation instability (MI) of the sixth-order focusing NLS equation with variable coefficients is also studied.
Editor: Dordrecht: Springer Netherlands
Idioma: Inglês

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