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Exact chirped periodic and localized wave pairs in a two-mode fiber system with self-steepening effect

2026/08/03 by Saida Chettouh, Houria Triki, Shu Xu +1

paper · doi:10.1088/1572-9494/ae816c

crossref created 2026/06/24 · crossref issued 2026/08/03 · crossref published 2026/08/03 · crossref published-online 2026/08/03 · crossref deposited 2026/08/03 · crossref indexed 2026/08/03 · crossref published-print 2026/10/01

Abstract

Abstract The possibility of the existence of chirped coupled periodic waves in a two-mode optical fiber exhibiting self-steepening nonlinearity is shown. Derived nonlinear waves comprise coupled dn–dn-type and cn–cn-type periodic waves, thus illustrating the diversity of propagating nonlinearly chirped periodic waveforms in the bimodal fiber system. Also, the bright-dark soliton pair is obtained in the long-wave limit of these periodic waves. It is demonstrated that each of the two wave components exhibits a nonlinear chirp that is directly proportional to its intensity. We further show that the group velocity dispersion parameter enables one to control the amplitude and background of the chirp effectively. The periodic and localized wave solutions presented here are of particular interest in the study of the transmission properties of optical pulses due to their frequency chirping property and precise nature.

Citations