Analytical insights into the (3+1)-dimensional Boussinesq equation: A dynamical study of interaction solitons
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255714" target="_blank" >RIV/61989100:27740/24:10255714 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2211379724004741" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2211379724004741</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.rinp.2024.107790" target="_blank" >10.1016/j.rinp.2024.107790</a>
Alternative languages
Result language
angličtina
Original language name
Analytical insights into the (3+1)-dimensional Boussinesq equation: A dynamical study of interaction solitons
Original language description
The Boussinesq equation has drawn significant interest in models for coastline and oceanic engineering, as it can simulate various phenomena such as shallow water waves and harbors, tsunami transmission, and near-shore wave mechanisms. This study examines different approaches for solving the (3+1)-dimensional integrable Boussinesq equation. For this purpose, the Bäcklund transformation is derived by utilizing the Hirota bilinear representation. The understanding of the equation is improved by this transformation, which yields solutions for exponential functions. Furthermore, the model's bilinear form is used to construct its two-, three-, and multi-wave solutions. The features and behavior of the wave solutions to the equation are clarified by this investigation. Additionally, the concerned equation is transformed into an ordinary differential equation by means of a traveling wave transformation, and the results consisting of solutions for rational and polynomial functions are extracted by means of the unified technique. The graphical representations are an essential visual assistance for comprehending the intricate dynamics and behaviors displayed by the governing equation's solutions. (C) 2024 The Author(s)
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Results in Physics
ISSN
2211-3797
e-ISSN
2211-3797
Volume of the periodical
61
Issue of the periodical within the volume
June
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85194364522