Dynamics of quasi-periodic, bifurcation, sensitivity and three-wave solutions for (n+1)-dimensional generalized Kadomtsev-Petviashvili equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255693" target="_blank" >RIV/61989100:27740/24:10255693 - isvavai.cz</a>
Result on the web
<a href="https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0305094" target="_blank" >https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0305094</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1371/journal.pone.0305094" target="_blank" >10.1371/journal.pone.0305094</a>
Alternative languages
Result language
angličtina
Original language name
Dynamics of quasi-periodic, bifurcation, sensitivity and three-wave solutions for (n+1)-dimensional generalized Kadomtsev-Petviashvili equation
Original language description
This study endeavors to examine the dynamics of the generalized Kadomtsev-Petviashvili (gKP) equation in (n + 1) dimensions. Based on the comprehensive three-wave methodology and the Hirota's bilinear technique, the gKP equation is meticulously examined. By means of symbolic computation, a number of three-wave solutions are derived. Applying the Lie symmetry approach to the governing equation enables the determination of symmetry reduction, which aids in the reduction of the dimensionality of the said equation. Using symmetry reduction, we obtain the second order differential equation. By means of applying symmetry reduction, the second order differential equation is derived. The second order differential equation undergoes Galilean transformation to obtain a system of first order differential equations. The present study presents an analysis of bifurcation and sensitivity for a given dynamical system. Additionally, when an external force impacts the underlying dynamic system, its behavior resembles quasi-periodic phenomena. The presence of quasi-periodic patterns are identified using chaos detecting tools. These findings represent a novel contribution to the studied equation and significantly advance our understanding of dynamics in nonlinear wave models.
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
10300 - Physical sciences
Result continuities
Project
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Continuities
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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
PLoS One
ISSN
1932-6203
e-ISSN
1932-6203
Volume of the periodical
19
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
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UT code for WoS article
001305453900024
EID of the result in the Scopus database
2-s2.0-85202447127