Numerical and Computational Methods in Sciences and Engineering
Journal license

Journal

Numerical and Computational Methods in Sciences and Engineering


Volume
& Issue

Volume 2, Issue 2


Published
on

July 1, 2020


Pages

35-42


DOI

Article

Propagation of sech-type solutions for conformable fractional nonlinear Schrödinger models

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Authors

Mohammad Taghi Darvishi* Affiliation:
Department of Mathematics, Faculty of Science, Razi University, 67149 Kermanshah, Iran
and Mohammad Najafi Affiliation:
Department of Mathematics, Faculty of Science, Razi University, 67149 Kermanshah, Iran


Abstract

In this paper, we apply the semi-inverse variational principle for finding some explicit formulas of exact solutions for the conformable space-time fractional nonlinear (1+1)-dimensional Schrödinger models. The method is used to obtain exact solutions for three types of space-time fractional nonlinear Schrödinger equations, namely, space-time fractional NLS+, space-time fractional NLS−, and space-time fractional UNLS.


Keywords

Schrödinger models, The semi-inverse variational principle, Conformable fractional derivative, Symbolic computation


Citation

Darvishi, M. T. & Najafi, M. (2020). Propagation of sech-type solutions for conformable fractional nonlinear schrödinger models. Numerical and Computational Methods in Sciences and Engineering, 2(2), 35–42. https://doi.org/10.18576/ncmse/020201

Published by: Engineering Journals

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