https://doi.org/10.1140/epjp/s13360-023-04196-7
Regular Article
Optical solitons for the dispersive Schrödinger–Hirota equation in the presence of spatio-temporal dispersion with parabolic law
1
Software Engineering, Istanbul Gelisim University, Istanbul, Turkey
2
Computer Engineering, Biruni University, Istanbul, Turkey
3
Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
Received:
12
March
2023
Accepted:
13
June
2023
Published online:
21
June
2023
This research article holds two main purposes. The first purpose is obtaining the optical soliton solutions of the 
-dimensional dispersive Schrödinger–Hirota equation in the presence of spatio-temporal dispersion with parabolic law nonlinearity. The second is scrutinizing the impact of the parameters. We utilized the new Kudryashov scheme which is the recent effective, efficient, and easily applicable technique. Performing the wave transformation the nonlinear ordinary differential form (NLODF) is gained. Then utilizing the new Kudryashov method the polynomial structure and its solution sets are derived. Selecting the appropriate solution set, establishing the solution function, providing the main equation, linear modulation stability analysis, and graphical presentations in 3D, and 2D are the issues performed in the remaining parts of the article.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
