https://doi.org/10.1140/epjs/s11734-025-01854-y
Regular Article
Rogue wave and mixed interaction solutions of the coupled nonlinear Schrödinger-type equation via the generalized 
-fold Darboux transformation
School of Applied Science, Beijing Information Science and Technology University, 100192, Beijing, China
a
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Received:
5
June
2025
Accepted:
8
August
2025
Published online:
21
August
2025
Abstract
This paper investigates the coupled nonlinear Schrödinger-type equation, which models the dynamics of optical pulse propagation in fiber-optic media. By studying modulational instability, we explore the formation mechanisms of various localized waves. The generalized -fold Darboux transformation is constructed to derive rogue wave and mixed interaction solutions for this equation. Large parameter asymptotic and spectral analysis technique are used to analyze the obtained rogue wave solutions. These findings could enhance our understanding of this equation’s underlying physical meaning.
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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.
