Rogue Wave Solutions and Modulation Instability With Variable Coefficient and Harmonic Potential | Zendy

Safdar Ali | Zendy; Muhammad Younis | Zendy

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Rogue Wave Solutions and Modulation Instability With Variable Coefficient and Harmonic Potential

Author(s) -

Safdar Ali,

Muhammad Younis

Publication year - 2020

Publication title -

frontiers in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.754

H-Index - 31

ISSN - 2296-424X

DOI - 10.3389/fphy.2019.00255

Subject(s) - rogue wave , instability , physics , modulation (music) , nonlinear system , matrix similarity , classical mechanics , harmonic , gravity wave , modulational instability , transformation (genetics) , mechanics , magnetic field , quantum electrodynamics , wave propagation , quantum mechanics , acoustics , partial differential equation , biochemistry , chemistry , gene

The article studies the propagation of rogue waves with a nonautonomous NLSE in presence of external potential, which is considered as an important model for many physical phenomena in quantum mechanics. The obtained waves are of first and second-order, and are investigated using similarity transformation. The nonlinear dynamical behaviour of these waves has also been demonstrated in the presence of gravity and magnetic fields. The result shows the influence of gravity and magnetic fields over density, width and peak heights. Moreover, the modulation instability has also been discussed.

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