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

Autor:	K. Himalini, Thilagarajah Mathanaranjan
Rok vydání:	2019
Předmět:	Nonlinear system symbols.namesake Computation symbols Zero (complex analysis) Applied mathematics Decomposition method (queueing theory) Adomian decomposition method Convergent series Schrödinger equation Fractional calculus Mathematics
Zdroj:	Journal of Science of the University of Kelaniya Sri Lanka. 12:21
ISSN:	2513-2180 1391-9210
DOI:	10.4038/josuk.v12i0.8015
Popis:	Sumudu 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2eb0fd63de9795d8953984ea69149f90 https://doi.org/10.4038/josuk.v12i0.8015 Zobrazit plný text záznamu