Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257590" target="_blank" >RIV/61989100:27740/25:10257590 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2090447925001364" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447925001364</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2025.103395" target="_blank" >10.1016/j.asej.2025.103395</a>
Alternative languages
Result language
angličtina
Original language name
Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation
Original language description
This research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a B & auml;cklund transformation for the equation. Utilizing this bilinear B & auml;cklund transformation, we derive solutions comprising rational and exponential functions. Moreover, the Hirota bilinear representation is employed extensively to decipher the dynamics of two-wave, three-wave, rogue, lump-kink, breather, and multi-wave solutions. Detailed visualizations, including contour plots and 3D profiles across diverse parameter settings, offer deeper insights into the characteristics of these results. A traveling wave transformation further simplifies the equation into an ordinary differential equation, and the use of a new auxiliary equation method yields solutions that encompass trigonometric, hyperbolic, rational, and exponential functions. Our results highlight the effectiveness and efficiency of these methods in analytically solving nonlinear partial differential equations.
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
2025
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
16
Issue of the periodical within the volume
7
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
103395
UT code for WoS article
001473589700001
EID of the result in the Scopus database
2-s2.0-105002492954