On the numerical solution of nonplanar dust-acoustic super rogue waves in a strongly coupled dusty plasma

Publication date: Available online 15 March 2019Source: Physics Letters AAuthor(s): Salemah Almutalk, S.A. El-Tantawy, E.I. El-Awady, S.K. El-LabanyAbstractThe occurrence of cylindrical and spherical low-frequency dust-acoustic freak waves (DAFWs) in a strongly coupled dusty plasma is numerically investigated in the framework of the phenomenological generalized hydrodynamic model. The basic equations are reduced to a modified/nonplanar nonlinear Schrödinger equation (mNLSE) using a reductive perturbation method. The existing regions of instability structures have been carefully identified. For studying the propagation of rogue waves in case of nonplanar (cylindrical and spherical coordinates), the mNLSE has been solved numerically. The effects of nonplanar geometries on the basic features of the DAFWs for the first- and second-orders rogue waves are discussed. Finally, our results are of relevance in ultradense situations where nonplaner geometrical effects are significant. In particular, we expect for our findings to be important to understand the DA breathers experimentally in a strongly coupled dusty plasma.

Source: Physics Letters A - March 16, 2019 Category: Physics Source Type: research