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Optical and Quantum Electronics

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01.07.2023

New analytical wave solitons and some other wave solutions of truncated M-fractional LPD equation along parabolic law of non-linearity

verfasst von: M. Raheel, Asim Zafar, Waseem Razzaq, Maysoon Qousini, Musawa Yahya Almusawa

Erschienen in: Optical and Quantum Electronics | Ausgabe 7/2023

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Abstract

This article is about, the new analytical wave solitons, breather-wave, lump-kink and interaction between lump-kink and rogue wave solutions of Laksmanan–Porsezian–Daniel equation with parabolic law along a new definition of derivative has been explored. For this purpose, the \(\exp _a\) function, the extended sinh-Gordon equation expansion scheme and Hirota bilinear schemes have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular and other kinds of solitons. These results are obtained and also verified by Mathematica and Maple tools. Our gained solutions are newer than the existing results in the literature. Some of the gained results are explained by 2-dimensional, 3-dimensional and contour plots. Results may be useful for the progress of the model in further study. The schemes used in this research are effective, easy and reliable to handle the other fractional nonlinear partial differential equations.

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Titel: New analytical wave solitons and some other wave solutions of truncated M-fractional LPD equation along parabolic law of non-linearity
verfasst von: M. Raheel
Asim Zafar
Waseem Razzaq
Maysoon Qousini
Musawa Yahya Almusawa
Publikationsdatum: 01.07.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 7/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-04868-9

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