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

Document Type

Article

Publication Date

9-30-2021

Abstract

In this paper, a modified nonlinear Schrodinger equation with spatiotemporal 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 Schrodinger equation with spatiotemporal dispersion. The approximate analytical solutions are obtained and compared with each other graphically.

Keywords

Caputo fractional derivative, Conformable derivative, Double Laplace transform, Nonlinear fractional Schrodinger equation

Divisions

MathematicalSciences

Publication Title

Mathematical Methods in the Applied Sciences

Volume

44

Issue

14

Publisher

Wiley

Publisher Location

111 RIVER ST, HOBOKEN 07030-5774, NJ USA

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