Lax pairs and Bäcklund transformations for a new (3+1)-dimensional integrable equation utilizing symbolic computation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256726" target="_blank" >RIV/61989100:27740/24:10256726 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2090447924004660" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447924004660</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2024.103085" target="_blank" >10.1016/j.asej.2024.103085</a>
Alternative languages
Result language
angličtina
Original language name
Lax pairs and Bäcklund transformations for a new (3+1)-dimensional integrable equation utilizing symbolic computation
Original language description
This article discusses a new integrable wave equation in (3+1)-dimensions that describes shallow water waves. The auto-B & auml;cklund and Cole-Hopf transformations are constructed by means of the homogeneous balance approach, which results in numerous new solitary wave-type solutions. Based on Hirota's method, B & auml;cklund transformation is derived, and the respective lax pairs are also calculated. The exponential, trigonometric, and hyperbolic wave functions generate numerous kinds of soliton-type solutions. To further capitalize on the potential and physical behavior of the equation, the findings are also presented through phase portraits in the form of 3D, density, and 2D plots. This research may advance knowledge of the characteristics of nonlinear waves that form in seas and oceans.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science 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
Ain Shams Engineering Journal
ISSN
2090-4479
e-ISSN
2090-4495
Volume of the periodical
15
Issue of the periodical within the volume
12
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
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UT code for WoS article
001407819600001
EID of the result in the Scopus database
2-s2.0-85206681815