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Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles

Crossref DOI link: https://doi.org/10.1186/s13661-024-01921-8

Published Online: 2024-09-12

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

Authors

Alizadeh, Farzaneh http://orcid.org/0000-0002-1851-0397
Hosseini, Kamyar http://orcid.org/0000-0001-7137-1456
Sirisubtawee, Sekson http://orcid.org/0000-0003-0715-470X
Hincal, Evren http://orcid.org/0000-0001-6175-1455
Funding

Funding for this research was provided by:

King Mongkut's University of Technology North Bangkok (KMUTNB-67-KNOW-18)
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Text and Data Mining valid from 2024-09-12

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Article History

Received: 17 May 2024

Accepted: 2 September 2024

First Online: 12 September 2024

Declarations

:

: Not applicable.

: The authors declare no competing interests.

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