Hosseini,K.Salahshour, SoheılBaleanu,D.Hincal,E.Manukure,S.Salahshour,S.Kaymakamzade,B.2024-05-252024-05-25202402349-510310.1007/s40819-024-01706-82-s2.0-85187932252https://doi.org/10.1007/s40819-024-01706-8https://hdl.handle.net/20.500.14517/1724The geophysical KdV equation is used to explore the propagation of oceanic waves. In the present paper, the geophysical KdV equation involving a source (The source is a polynomial of degree n in the unknown function) is formally introduced. Through the Painlevé analysis, it is shown that the geophysical KdV equation with the source is not integrable. Under some necessary conditions for integrability, several kink-type solitary waves to the special cases of the governing model when n=2 and n=4 are derived using the classical Kudryashov method. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.eninfo:eu-repo/semantics/closedAccessGeophysical KdV equationIntegrabilityKink-type solitary wavesKudryashov methodPainlevé analysisSourceArticleQ2102