Nonautonomous Rogue Waves Research Articles

Transmission control of nonautonomous optical rogue waves in nonlinear optical media

We propose a unified theory, that is, similarity transformation, to construct exact optical rogue wave solution of (1+1)-dimensional nonlinear Schrödinger equation with variable coefficients. Moreover, we investigate propagation dynamics of the first-order optical rogue wave in an optical fiber amplifier. In the suitable regulation of parameters, we find that the properties of the optical rogue wave, such as width, amplitude and position, are controllable in a nonlinear medium. These results give edification in theory and practical application.

Dynamics of nonautonomous rogue waves in Bose–Einstein condensate

We study rogue waves of Bose–Einstein condensate (BEC) analytically in a time-dependent harmonic trap with a complex potential. Properties of the nonautonomous rogue waves are investigated analytically. It is reported that there are possibilities to ‘catch’ rogue waves through manipulating nonlinear interaction properly. The results provide many possibilities to manipulate rogue waves experimentally in a BEC system.