Comparative analytical study of the ($$2+1$$)-dimensional Heisenberg spin chain equation using the modified Kudryashov and unified Riccati methods
Crossref DOI link: https://doi.org/10.1038/s41598-026-52543-2
Published Online: 2026-05-13
Update policy: https://doi.org/10.1007/springer_crossmark_policy
Jawarneh, Yousef
Mukhtar, Safyan
Islam, Safiqul
Amadou, Yaouba
Text and Data Mining valid from 2026-05-13
Version of Record valid from 2026-07-14
Article History
Received: 14 March 2026
Accepted: 6 May 2026
First Online: 13 May 2026
Declarations
:
: The authors declare no competing interests.