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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 14/2023

01.12.2023

Stability analysis and multi-wave structures of the ill-posed Boussinesq equation arising in nonlinear physical science

verfasst von: Muhammad Naveed Rafiq, Haibo Chen, Muhammad Hamza Rafiq

Erschienen in: Optical and Quantum Electronics | Ausgabe 14/2023

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Abstract

In this manuscript, an analysis is carried out on the dynamic behavior of the ill-posed Boussinesq equation, which arises in nonlinear lattices and shallow water waves. The simplified Hirota method is employed to obtain multi-wave structures, such as one-soliton, two-soliton and three-soliton solutions. Some solutions are visually demonstrated through 3D, 2D and density plots. Furthermore, a comprehensive discussion on the stability analysis of the equation under study is presented. These results are innovative and have not been previously investigated in the context of this equation. These results show that the methodology used is concise, straightforward, and efficient, and as a result, it makes a significant contribution to comprehending the complexity of multi-wave profiles in nonlinear physical science models.
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Metadaten
Titel
Stability analysis and multi-wave structures of the ill-posed Boussinesq equation arising in nonlinear physical science
verfasst von
Muhammad Naveed Rafiq
Haibo Chen
Muhammad Hamza Rafiq
Publikationsdatum
01.12.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 14/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05537-7

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