M-shaped rational solitons and their interaction with kink waves in the Fokas-Lenells equation

In this paper, by utilizing logarithmic transformation and symbolic computation with the ansatz function technique, we investigated the rational solitons of the Fokas-Lenells equation. We obtained two types of M-shaped rational solitons and their dynamics are shown in figures by selecting the approp...

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Published inPhysica scripta Vol. 94; no. 5; pp. 55205 - 55211
Main Authors Ahmed, Iftikhar, Seadawy, Aly R, Lu, Dianchen
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.05.2019
Subjects
Fokas-Lenells equation
interaction phenomena
logarithmic transformations
M-shaped rational solitons
Online AccessGet full text
ISSN0031-8949
1402-4896
DOI10.1088/1402-4896/ab0455

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Abstract In this paper, by utilizing logarithmic transformation and symbolic computation with the ansatz function technique, we investigated the rational solitons of the Fokas-Lenells equation. We obtained two types of M-shaped rational solitons and their dynamics are shown in figures by selecting the appropriate values of involved parameters. Furthermore, two types of interactions of M-shaped rational solitons with kink waves are investigated. We obtained the novel structures and very interesting interactional phenomena of M-shaped rational solitons with kink waves.
AbstractList In this paper, by utilizing logarithmic transformation and symbolic computation with the ansatz function technique, we investigated the rational solitons of the Fokas-Lenells equation. We obtained two types of M-shaped rational solitons and their dynamics are shown in figures by selecting the appropriate values of involved parameters. Furthermore, two types of interactions of M-shaped rational solitons with kink waves are investigated. We obtained the novel structures and very interesting interactional phenomena of M-shaped rational solitons with kink waves.
Author Lu, Dianchen
Ahmed, Iftikhar
Seadawy, Aly R
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  givenname: Dianchen
  surname: Lu
  fullname: Lu, Dianchen
  email: dclu@ujs.edu.cn
  organization: Jiangsu University Faculty of Science, Zhenjiang, Jiangsu 212013, People's Republic of China
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Snippet In this paper, by utilizing logarithmic transformation and symbolic computation with the ansatz function technique, we investigated the rational solitons of...
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SubjectTerms Fokas-Lenells equation
interaction phenomena
logarithmic transformations
M-shaped rational solitons
Title M-shaped rational solitons and their interaction with kink waves in the Fokas-Lenells equation
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