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Approximate Analytical Solutions of Bright Optical Soliton for Nonlinear Schrödinger Equation of Power Law Nonlinearity
- Source :
- Baghdad Science Journal, Vol 18, Iss 1(Suppl.) (2021)
- Publication Year :
- 2021
- Publisher :
- College of Science for Women, University of Baghdad, 2021.
-
Abstract
- 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.
- Subjects :
- General Computer Science
020209 energy
General Mathematics
General Physics and Astronomy
02 engineering and technology
Adomian polynomials
01 natural sciences
General Biochemistry, Genetics and Molecular Biology
Schrödinger equation
symbols.namesake
nonlinear Schrodinger equations of power law nonlinearity
Multistep Modified Reduced Differential Transform Method
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
0101 mathematics
Representation (mathematics)
lcsh:Science
Nonlinear Schrödinger equation
Convergent series
Mathematics
General Chemistry
Agricultural and Biological Sciences (miscellaneous)
Term (time)
010101 applied mathematics
Nonlinear system
symbols
Power law nonlinearity
lcsh:Q
Soliton
multistep approach
Subjects
Details
- Language :
- Arabic
- ISSN :
- 24117986 and 20788665
- Volume :
- 18
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Baghdad Science Journal
- Accession number :
- edsair.doi.dedup.....69cd3b4ef13a405629542a7e2360ef2f