Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity
This paper introduces the Multistep Modified Reduced Differential Transform Method (MMRDTM). It is applied to approximate the solution for Nonlinear Schrodinger Equations (NLSEs) of power law nonlinearity. The proposed method has some advantages. An analytical approximation can be generated in a fas...
| Main Authors: | , , , , |
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| Format: | Article |
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Baghdad Science Journal
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/95970/ |
| _version_ | 1848862266698498048 |
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| author | Che Hussin, Che Haziqah Azmi, Amirah Md Ismail, Ahmad Izani Kilicman, Adem Hashim, Ishak |
| author_facet | Che Hussin, Che Haziqah Azmi, Amirah Md Ismail, Ahmad Izani Kilicman, Adem Hashim, Ishak |
| author_sort | Che Hussin, Che Haziqah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper introduces the Multistep Modified Reduced Differential Transform Method (MMRDTM). It is applied to approximate the solution for Nonlinear Schrodinger Equations (NLSEs) of power law nonlinearity. The proposed method has some advantages. An analytical approximation can be generated in a fast converging series by applying the proposed approach. On top of that, the number of computed terms is also significantly reduced. Compared to the RDTM, the nonlinear term in this method is replaced by related Adomian polynomials prior to the implementation of a multistep approach. As a consequence, only a smaller number of NLSE computed terms are required in the attained approximation. Moreover, the approximation also converges rapidly over a wide time frame. Two examples are provided for showing the ability and advantages of the proposed method to approximate the solution of the power law nonlinearity of NLSEs. For pictorial representation, graphical inputs are included to represent the solution and show the precision as well as the validity of the MMRDTM. |
| first_indexed | 2025-11-15T13:14:18Z |
| format | Article |
| id | upm-95970 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:14:18Z |
| publishDate | 2021 |
| publisher | Baghdad Science Journal |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-959702023-03-16T03:05:42Z http://psasir.upm.edu.my/id/eprint/95970/ Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity Che Hussin, Che Haziqah Azmi, Amirah Md Ismail, Ahmad Izani Kilicman, Adem Hashim, Ishak This paper introduces the Multistep Modified Reduced Differential Transform Method (MMRDTM). It is applied to approximate the solution for Nonlinear Schrodinger Equations (NLSEs) of power law nonlinearity. The proposed method has some advantages. An analytical approximation can be generated in a fast converging series by applying the proposed approach. On top of that, the number of computed terms is also significantly reduced. Compared to the RDTM, the nonlinear term in this method is replaced by related Adomian polynomials prior to the implementation of a multistep approach. As a consequence, only a smaller number of NLSE computed terms are required in the attained approximation. Moreover, the approximation also converges rapidly over a wide time frame. Two examples are provided for showing the ability and advantages of the proposed method to approximate the solution of the power law nonlinearity of NLSEs. For pictorial representation, graphical inputs are included to represent the solution and show the precision as well as the validity of the MMRDTM. Baghdad Science Journal 2021 Article PeerReviewed Che Hussin, Che Haziqah and Azmi, Amirah and Md Ismail, Ahmad Izani and Kilicman, Adem and Hashim, Ishak (2021) Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity. Baghdad Science Journal, 18 (suppl.1). 836 - 845. ISSN 2078-8665; ESSN: 2411-7986 https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5920 10.21123/bsj.2021.18.1(Suppl.).0836 |
| spellingShingle | Che Hussin, Che Haziqah Azmi, Amirah Md Ismail, Ahmad Izani Kilicman, Adem Hashim, Ishak Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| title | Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| title_full | Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| title_fullStr | Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| title_full_unstemmed | Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| title_short | Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| title_sort | approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity |
| url | http://psasir.upm.edu.my/id/eprint/95970/ http://psasir.upm.edu.my/id/eprint/95970/ http://psasir.upm.edu.my/id/eprint/95970/ |