Approximate analytical solution for solving nonlinear Schrodinger equation

• Main Author: Che Haziqah Che Hussin
• Format: Proceedings
• Language: English; English
• Published: Pusat e-pembelajaran, UMS 2021
• Subjects: Q1-390 Science (General); QA801-939 Analytic mechanics
• Online Access: https://eprints.ums.edu.my/id/eprint/41612/1/ABSTRACT.pdf; https://eprints.ums.edu.my/id/eprint/41612/2/FULL%20TEXT.pdf; https://eprints.ums.edu.my/id/eprint/41612/; https://oer.ums.edu.my/handle/oer_source_files/1874

The purpose of this article is to propose and implement the Multi-step Modified Reduced Different Transform (MMRDTM) to obtain a solution of the nonlinear Schrodinger equation (NLSE). By the proposed technique, we replaced the nonlinear term of the NLSE with the equivalent Adomian polynomials prior to adopting the multi-step approach. Therefore, we can get solutions with reduced complexity for NLSEs. Furthermore, the solutions can be approximated more precisely over a more extended time period. In order to demonstrate the efficiency and accuracy of the MMRDTM, we examined examples of NLSE and graphed the features of the solutions.