https://doi.org/10.1140/epjs/s11734-025-01861-z
Regular Article
Chirped self-similar optical solitons in cascaded quadratic media beyond the slowly varying envelope approximation
1
Radiation and Matter Physics Laboratory, Matter Sciences Department, Mohamed-Cherif Messaadia University, P.O. Box 1553, 41000, Souk-Ahras, Algeria
2
Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000, Annaba, Algeria
3
School of Electronics and Information Engineering, Wuhan Donghu College, 430212, Wuhan, China
Received:
29
June
2025
Accepted:
8
August
2025
Published online:
16
August
2025
We study the existence and dynamical evolution of chirped self-similar solitons on a continuous-wave background in a cascaded quadratic medium beyond the slowly varying envelope approximation. By means of the similarity transformation method, we find the exact bright, dark, kink, anti-kink, and gray analytical self-similar soliton solutions of the generalized derivative nonlinear Schrödinger equation with distributed coefficients and gain or loss, which describes the light pulse propagation in the inhomogeneous optical media. It is found that the obtained self-similar localized pulses possess a nonlinear chirp that originates from the self-steepening process. As an application, we discuss the dynamical evolution of the self-similar wave solutions in a periodic distributed system. The results show that one may control the shape and dynamics of chirped self-similar solitons by choosing the dispersion and gain or loss profiles appropriately.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
