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

By I. Ahmed, Aly R. Seadawy, Dianchen Lu. Physica Scripta, 2019

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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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/98e1714321da56b83e5c485e3410082e19fb40a4