Physics

Nonlinear system

Instability

Matrix similarity

Mechanics

Partial differential equation

Gene

Magnetic field

Modulation (music)

Harmonic

Modulational instability

Acoustics

Chemistry

Gravity wave

Rogue wave

Transformation (genetics)

Quantum electrodynamics

Quantum mechanics

Wave propagation

Biochemistry

Classical mechanics

Frontiers in Physics

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.

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