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- Title
Analysis of Optical Solitons for Nonlinear Schrödinger Equation with Detuning Term by Iterative Transform Method.
- Authors
Shah, Nehad Ali; Agarwal, Praveen; Chung, Jae Dong; El-Zahar, Essam R.; Hamed, Y. S.
- Abstract
In this article, the iteration transform method is used to evaluate the solution of a fractional-order dark optical soliton, bright optical soliton, and periodic solution of the nonlinear Schrödinger equations. The Caputo operator describes the fractional-order derivatives. The solutions of some illustrative examples are presented to show the validity of the proposed technique without using any polynomials. The proposed method provides the series form solutions, which converge to the exact results. Using the present methodology, the solutions of fractional-order problems as well as integral-order problems are calculated. The present method has less computational costs and a higher rate of convergence. Therefore, the suggested algorithm is constructive to solve other fractional-order linear and nonlinear partial differential equations.
- Subjects
NONLINEAR Schrodinger equation; OPTICAL solitons; SCHRODINGER equation; PARTIAL differential equations; NONLINEAR differential equations; ALGORITHMS; FRACTIONAL calculus
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 11, p1850
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12111850