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New approximate-analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method

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dc.contributor.authorKaabar, Mohammed K. A.
dc.contributor.authorMartínez, Francisco
dc.contributor.authorGómez-Aguilar, José Francisco
dc.contributor.authorGhanbari, Behzad
dc.contributor.authorKaplan, Melike
dc.date.accessioned2026-01-04T13:49:07Z
dc.date.issued2020-01-01
dc.description.abstractIn this paper, a modified nonlinear Schr��dinger equation with spatio-temporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled with Adomian decomposition method has been defined and applied to solve the newly formulated nonlinear Schr��dinger equation with spatio-temporal dispersion. The approximate analytical solutions using the proposed generalized method in the sense of Caputo fractional derivative and conformable derivatives are obtained and compared with each other graphically.
dc.description.abstract19 pages, 10 figures, 1 table, submitted to Optik journal, Elsevier
dc.description.urihttps://dx.doi.org/10.13140/rg.2.2.19488.20482
dc.description.urihttps://dx.doi.org/10.48550/arxiv.2010.10977
dc.description.urihttp://arxiv.org/abs/2010.10977
dc.identifier.doi10.13140/rg.2.2.19488.20482
dc.identifier.openairedoi_dedup___::839d22361bf2572597d1bfcf7fc444c5
dc.identifier.urihttps://hdl.handle.net/20.500.12597/37752
dc.language.isoeng
dc.publisherUnpublished
dc.rightsOPEN
dc.subjectGeneral Mathematics (math.GM)
dc.subjectFOS: Mathematics
dc.subjectA33, 81Q05, 00A69, 44A10, 35M10, 35Q55, 35-xx
dc.subjectMathematics - General Mathematics
dc.titleNew approximate-analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method
dc.typePreprint
dspace.entity.typePublication
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