Abstract
The 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.
•The nonplanar law frequency dust-acoustic freak waves in a strongly coupled dusty plasma are reported.•The derivative expansion method is used to derive the modified nonlinear Schrödinger equation (NLSE).•The breather solutions of the modified NLSE are obtained using the finite difference scheme.•The results help us to understand the dynamics of dust-acoustic rogue wave in laboratory dusty plasma.