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Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg–de Vries system with the impact of fractional derivative via analytical approach

Crossref DOI link: https://doi.org/10.1038/s41598-026-39517-0

Published Online: 2026-02-11

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

Authors

Khan, Muhammad Ishfaq

Khan, Meraj Ali

Iqbal, Mujahid

Alghabban, Weam Gaoud

Aljohani, Abeer

Al-Dayel, Ibrahim

Ceesay, Baboucarr
Funding

Funding for this research was provided by:

Imam Mohammad Ibn Saud Islamic University (IMSIU-DDRSP2602)
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Text and Data Mining valid from 2026-02-11

Version of Record valid from 2026-03-06
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Article History

Received: 30 December 2025

Accepted: 5 February 2026

First Online: 11 February 2026

Declarations

:

: The authors declare no competing interests.

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