A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity

• Main Authors: Che Haziqah Che Hussin, Arif Mandangan
• Format: Proceedings
• Language: English; English
• Published: Pusat e-pembelajaran, UMS 2023
• Subjects: QA1-43 General; QA299.6-433 Analysis
• Online Access: https://eprints.ums.edu.my/id/eprint/41294/1/ABSTRACT.pdf; https://eprints.ums.edu.my/id/eprint/41294/2/FULL%20TEXT.pdf; https://eprints.ums.edu.my/id/eprint/41294/; https://oer.ums.edu.my/handle/oer_source_files/2781
• Institution: Universiti Malaysia Sabah

The purpose of this paper is to recommend and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) for solving Nonlinear Schrodinger Equations (NLSEs) with power-law nonlinearity. Prior to applying the multistep approach, we replaced the nonlinear term in the NLSEs with the corresponding Adomian polynomials using the proposed technique. As a result, we can obtain solutions for NLSEs with power-law nonlinearity in a simpler and less complex manner. Furthermore, the solutions can be approximated more precisely over a longer period. We considered several NLSEs with power-law nonlinearity and graphed the features of these solutions to demonstrate the power and accuracy of the MMRDTM.