Exact chirped singular soliton solutions of Triki-Biswas equation

Abstract

Triki and Biswas proposed an important generalization of the derivative nonlinear Schrödinger equation that could be a model equation of ultrashort pulse propagation in optical fiber systems beyond the Kerr limit. This paper studies the exact nonlinearly chirped singular soliton solutions of the Triki-Biswas equation with non-Kerr dispersion by means of the traveling-wave method. The results show that these envelope solitons possess a nontrivial phase chirping which varies as a function of the wave intensity. The conditions on the optical material parameters for the existence of the singular structures are also presented.