Analytical solutions of the time-fractional non- linear Schrodinger equation with zero and non-zero trapping potential through the sumudu decomposition method

dc.contributor.authorMathanaranjan, K.
dc.contributor.authorHimalini, K.
dc.date.accessioned2019-09-03T06:48:42Z
dc.date.available2019-09-03T06:48:42Z
dc.date.issued2019
dc.description.abstractSumudu decomposition method is used to construct the approximate analytical solutions of time-fractional nonlinear Schrodinger equations with zero and nonzero trapping potential. The Sumudu decomposition method is a combined form of the Sumudu transform and the Adomian decomposition method. The fractional derivatives are defined in the Caputo sense. The exact solutions of some nonlinear Schrodinger equations are given as a special case of our approximate analytical solutions. The computations show that the described method is easy to apply, and it needs smaller size of computation as compared to the other existing methods. Further, the solutions are derived in a convergent series form which shows the effectiveness of the method for solving a wide variety of nonlinear fractional differential equations.en_US
dc.identifier.citationMathanaranjan,K. and Himalini,K. (2019). Analytical solutions of the time-fractional non- linear Schrodinger equation with zero and non-zero trapping potential through the sumudu decomposition method. Journal of Science of the University of Kelaniya Volume:10. P: 21-33. ISSN 1391 – 9210en_US
dc.identifier.issn1391 – 9210
dc.identifier.urihttp://repository.kln.ac.lk/handle/123456789/20418
dc.language.isoen_USen_US
dc.publisherJournal of Science of the University of Kelaniya Volume:10en_US
dc.subjectFractional derivativeen_US
dc.subjectTime-fractional Schrodinger equationen_US
dc.subjectAdomian decomposition methoden_US
dc.subjectSumudu transformsen_US
dc.titleAnalytical solutions of the time-fractional non- linear Schrodinger equation with zero and non-zero trapping potential through the sumudu decomposition methoden_US
dc.typeArticleen_US

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