Chirped bright and double-kinked quasi-solitons in optical metamaterials with self-steepening nonlinearity

ABSTRACT

Considering the self-steepening effect in a metamaterial (MM) can significantly change its behaviour. We study the propagation of ultrashort pulses in nonlinear MMs that is governed by a generalized nonlinear Schrö dinger equation with higher order effects such as pseudo-quintic nonlinearity and self-steepening effect. A class of chirped quasi-soliton solutions is obtained in the presence of the self-steepening term, and some of which are derived for the first time. The solutions comprise chirped bright quasi-solitons on a constant and zero background, kink and anti-kink quasi-solitons, and double-kink quasi-solitons. It is found that the nonlinear chirp associated with each of these waves is directly proportional to the intensity and its amplitude can be controlled by selecting the self-steepening and dispersion coefficients. Particular cases of chirp-free quasi-solitons are discussed. The conditions on MM parameters for the formation of these structures are also presented. The obtained results are important to explore much richer localized light pulses in MMs.

KEYWORDS:

• Optical solitons
• metamaterial
• self-steepening effect

PACS CODES:

• 42.55.Tv
• 42.65.Tg
• 42.81.Dp

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

qin zhou http://orcid.org/0000-0001-5334-7188

Additional information

Funding

This work of QZ was supported by the National Natural Science Foundation of China (Grant Nos. 11705130 and 1157149); QZ was also sponsored by the Chutian Scholar Program of Hubei Government in China. SPM would like to thank the research support provided by the Department of Mathematics and Statistics at Tshwane University of Technology and the support from the South African National Foundation (Grant No. 92052 IRF1202210126). The research work of MB was supported by Qatar National Research Fund (QNRF)) (Grant No. NPRP 8-028-1-001).