Novel singular solitons in optical metamaterials for self-steepening effect

We consider the evolution of ultrashort pulses in metamaterials wherein the pulse propagation is governed by the generalized nonlinear Schrodinger equation with higher-order effects such as pseudo-quintic nonlinearity and self-steepening effect. We present three new types of exact singular soliton-like solutions for the model in the presence of the self-steepening term, whose phase chirping varies as a function of the pulse intensity. The obtained results indicate that the parameters of solutions are directly related the self steepening parameter. Parametric conditions on physical parameters for the existence of the novel structures are also presented. Particular cases are discussed. (C) 2017 Elsevier GmbH. All rights reserved.