Eur. Phys. J. Plus (2022) 137: 519
https://doi.org/10.1140/epjp/s13360-022-02721-8

Regular Article

Propagating chirped lambert W-kink solitons for ac-driven higher-order nonlinear Schrödinger equation with quadratic-cubic nonlinearity

¹ Department of Physics, Panjab University, 160014, Chandigarh, India
² Department of Physics, Goswami Ganesh Dutta Sanatan Dharma College, 160030, Chandigarh, India

^c amit.goyal@ggdsd.ac.in

Received: 23 January 2022
Accepted: 14 April 2022
Published online: 28 April 2022

Abstract

We report a new kind of exact soliton-like solution for the quadratic-cubic nonlinear Schrödinger equation in presence of higher-order terms and driven by an external source. These localized solutions have recently been found as kink solutions for a parity breaking ${\varphi }^6$ field theory and are expressed in terms of Lambert W function, and hence we refer to them as Lambert W-kink solitons. The solutions are necessarily chirped and dark in nature. The chirp is shown to have non-trivial dependence on the amplitude, and hence can be controlled by evolution coefficients as well as the intensity of the solitons. Variation of various coefficients concerning the external source strength has been studied for competing and non-competing quadratic-cubic nonlinearity. We explore the conditions to lock the phase of propagating wave either in- or out of-phase to the external source.