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...
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| Main Authors: | , |
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| Format: | Proceedings |
| Language: | English English |
| Published: |
Pusat e-pembelajaran, UMS
2023
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| 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 https://eprints.ums.edu.my/id/eprint/41294/ https://oer.ums.edu.my/handle/oer_source_files/2781 |
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| Institution: | Universiti Malaysia Sabah |
| Language: | English English |
| Summary: | 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. |
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