A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity
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 th...
| Main Authors: | , |
|---|---|
| Format: | Proceedings |
| Language: | English English |
| Published: |
Pusat e-pembelajaran, UMS
2023
|
| Subjects: | |
| 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 |
| _version_ | 1817926492921790464 |
|---|---|
| author | Che Haziqah Che Hussin Arif Mandangan |
| author_facet | Che Haziqah Che Hussin Arif Mandangan |
| author_sort | Che Haziqah Che Hussin |
| collection | UMS |
| description | 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. |
| first_indexed | 2024-12-09T00:52:08Z |
| format | Proceedings |
| id | ums.eprints-41294 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-12-09T00:52:08Z |
| publishDate | 2023 |
| publisher | Pusat e-pembelajaran, UMS |
| record_format | dspace |
| spelling | ums.eprints-412942024-10-10T08:00:58Z https://eprints.ums.edu.my/id/eprint/41294/ A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity Che Haziqah Che Hussin Arif Mandangan QA1-43 General QA299.6-433 Analysis 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. Pusat e-pembelajaran, UMS 2023 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/41294/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/41294/2/FULL%20TEXT.pdf Che Haziqah Che Hussin and Arif Mandangan (2023) A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity. https://oer.ums.edu.my/handle/oer_source_files/2781 |
| spellingShingle | QA1-43 General QA299.6-433 Analysis Che Haziqah Che Hussin Arif Mandangan A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity |
| title | A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity |
| title_full | A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity |
| title_fullStr | A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity |
| title_full_unstemmed | A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity |
| title_short | A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity |
| title_sort | semi analytical method for solving the nonlinear schrodinger equation with power law nonlinearity |
| topic | QA1-43 General QA299.6-433 Analysis |
| url | https://eprints.ums.edu.my/id/eprint/41294/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41294/2/FULL%20TEXT.pdf |
| work_keys_str_mv | AT chehaziqahchehussin asemianalyticalmethodforsolvingthenonlinearschrodingerequationwithpowerlawnonlinearity AT arifmandangan asemianalyticalmethodforsolvingthenonlinearschrodingerequationwithpowerlawnonlinearity AT chehaziqahchehussin semianalyticalmethodforsolvingthenonlinearschrodingerequationwithpowerlawnonlinearity AT arifmandangan semianalyticalmethodforsolvingthenonlinearschrodingerequationwithpowerlawnonlinearity |