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Numerical Consideration of Chen-Lee-Liu Equation through Modification Method for Various Types of Solitons
Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA
Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA
- 1 Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA
- 2 Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA
American Journal of Computational Mathematics·Volume 10 (2020)·Pages 398–409·Published 21 July 2020·DOI10.4236/ajcm.2020.103021
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Abstract
The purpose of the current study is to assess the effectiveness and exactness of the new Modification of the Adomian Decomposition (MAD) method in providing fast converging numerical solutions for the Chen-Lee-Liu (CLL) equation. In addition, we are able to simulate the scheme and provide a comparative analysis with the help of some exact soliton solutions in optical fibers. Finally, the MAD method uncovered that the strategy is proven to be reliable due to the elevated level of accuracy and less computational advances, as demonstrated by a series of tables and figures.
KeywordsChen-Lee-Liu EquationSolitary Wavethe New Modification of the Adomian Decomposition
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