Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258687" target="_blank" >RIV/61989100:27740/25:10258687 - isvavai.cz</a>
Result on the web
<a href="https://www.nature.com/articles/s41598-025-22968-2" target="_blank" >https://www.nature.com/articles/s41598-025-22968-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-025-22968-2" target="_blank" >10.1038/s41598-025-22968-2</a>
Alternative languages
Result language
angličtina
Original language name
Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation
Original language description
In this paper, the dynamical features and soliton structures of the Gardner-Kadomtsov-Petviashvili equation in three dimensions are looked at. The Jacobi elliptic function method yields wave solutions that display distinct behaviors based on parameter variations. We reformulate the system into a planar dynamical system via the Galilean transformation for further analysis.Phase portraits are depicted by adjusting the bifurcation parameters , while periodic and super nonlinear periodic wave solutions are portrayed using numerical simulations. Furthermore, quasi-periodic and chaotic behavior is depicted by varying the external forcing term and using tools such as Lyapunov exponents, Poincar & eacute; maps, and sensitivity analysis. Changes in frequency and amplitude strongly influence the system's dynamics, offering insights that can improve predictions, enhance control methods, and optimize model performance.
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
—
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
Scientific Reports
ISSN
2045-2322
e-ISSN
2045-2322
Volume of the periodical
15
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
37175
UT code for WoS article
001600529500029
EID of the result in the Scopus database
2-s2.0-105019524093