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A unified framework for deriving and visualizing soliton solutions in the paraxial nonlinear Schrödinger equation

Crossref DOI link: https://doi.org/10.1038/s41598-025-07884-9

Published Online: 2025-09-26

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Khabyah, Ali Al https://orcid.org/0000-0002-4167-3119
Ahmad, Ali https://orcid.org/0000-0003-3434-9908
Koam, Ali N. A. https://orcid.org/0000-0002-5047-9908
Almarashi, Adel https://orcid.org/0000-0002-2542-3320
Othman, Hakeem A https://orcid.org/0000-0002-3559-2953
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Text and Data Mining valid from 2025-09-26

Version of Record valid from 2025-09-26
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Article History

Received: 11 January 2025

Accepted: 17 June 2025

First Online: 26 September 2025

Declarations

:

: The author declares that he has no conflict of interest.