Chirped pulses for Nematicons in liquid crystals with cubic-septic law nonlinearity

Abstract

This manuscript concentrates the behaviour of nematic liquid crystals (NLC) incorporating cubic-septic law property. The resulting solutions of the model play a significant role in the energy transport of soliton molecules in liquid crystals. In this study, the Jacobi elliptic (JE) function technique, which is one of the efficient integration procedure, is used to investigate chirped elliptic and solitary wave solitons like bright, dark, kink, singular, hyperbolic with some constraint conditions while the hyperbolic type traveling wave solutions of the equation defining the NLC incorporating cubic-septic law property is also represented as dark and singular solitons. The linear section of the obtained pulse chirp has two intensity-dependent chirping components that change the chirp. The results of this work could help us understand how chirped solitary waves (CSW) propagate in a weakly nonlocal cubic-septic law medium. This study improves the understanding of nonlinear light-matter interactions in liquid crystals by providing new insights into the role of chirped pulses in forming and modulating spatial optical solitons. Furthermore, we provide successful results in 3D, 2D, and contour forms. It is emphasized that the constrained technique is more effective and powerful than other ways, and the conclusions drawn in this work can contribute in understanding of the soliton molecules found in liquid crystals.