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A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves

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dc.contributor.authorWang X., Yue X.G., Kaabar M.K.A., Akbulut A., Kaplan M.
dc.date.accessioned2023-05-09T16:06:38Z
dc.date.available2023-05-09T16:06:38Z
dc.date.issued2022-01-01
dc.description.abstractA novel technique, named auxiliary equation method, is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems: the Kaup-Boussinesq system and generalized Hirota-Satsuma coupled KdV system with beta time fractional derivative. Our solutions were obtained using MAPLE software. This technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean engineering. Since a standard equation has not been used as an auxiliary equation for this technique, different and novel solutions are obtained via this technique.
dc.identifier.doi10.1016/j.joes.2022.03.012
dc.identifier.scopus2-s2.0-85127356206
dc.identifier.urihttps://hdl.handle.net/20.500.12597/12934
dc.relation.ispartofJournal of Ocean Engineering and Science
dc.rightstrue
dc.subjectAuxiliary equation method | Beta derivative | Fractional differential equations | Nonlinear equations | Solitary solutions | Symbolic computation
dc.titleA unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves
dc.typeArticle
dspace.entity.typePublication
relation.isScopusOfPublication1448357a-ec5b-40e3-bd97-cc3855f7224a
relation.isScopusOfPublication.latestForDiscovery1448357a-ec5b-40e3-bd97-cc3855f7224a

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