Abstract
Solitons are stable solutions of integrable nonlinear equations of two types: Korteweg–de Vries and Nonlinear Sr\(\ddot{o}\)dinger equation. They are very well established in photonics and plasma physics but very poorly in the astrophysical environment. The aim of this paper is to list and describe already derived equations and solutions in nonlinear regime, to discuss advantages of these solutions in each case and to point out possible improvement of these solution in order to apply them on several astrophysical systems and eventually to resolve some open questions.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: If it is about supplementary data: this is theoretical paper with no observational data.]
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Acknowledgements
This research has been financed by the Ministry of Education and Science of the Republic of Serbia, Contract Number 451-03-68/2020-14/200002. Part of this work has been presented on the SPIG 2020, August 24–28, 2020 in Serbia.
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Vukcevic, M. Soliton structures in different astrophysical systems. Eur. Phys. J. D 75, 78 (2021). https://doi.org/10.1140/epjd/s10053-021-00082-y
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DOI: https://doi.org/10.1140/epjd/s10053-021-00082-y