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New approximate-analytical solutions for the nonlinear fractional Schr\'{o}dinger equation with second-order spatio-temporal dispersion via double Laplace transform method
- Publication Year :
- 2020
-
Abstract
- In this paper, a modified nonlinear Schr\"{o}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\"{o}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.<br />Comment: 19 pages, 10 figures, 1 table, submitted to Optik journal, Elsevier
- Subjects :
- Mathematics - General Mathematics
26A33, 81Q05, 00A69, 44A10, 35M10, 35Q55, 35-xx
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2010.10977
- Document Type :
- Working Paper