Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256378" target="_blank" >RIV/61989100:27740/25:10256378 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11071-024-10756-y#data-availability" target="_blank" >https://link.springer.com/article/10.1007/s11071-024-10756-y#data-availability</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11071-024-10756-y" target="_blank" >10.1007/s11071-024-10756-y</a>
Alternative languages
Result language
angličtina
Original language name
Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points
Original language description
In this study, the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is analyzed to model internal wave interactions with both elastic and inelastic properties. The investigation begins with the derivation of explicit N-soliton solutions, particularly in the form of bright solitons, which demonstrate localized energy concentration. Subsequently, various breather solutions are proposed in distinct planes using the complex conjugate approach. By employing the long-wave limit approach to the N-soliton solutions, higher-order bright lump and line rogue wave solutions, which represent localized structures and sudden energy surges, are constructed. A novel aspect of this research is the derivation of six distinct hybrid solutions, combining solitons, lumps, and breathers waves through the selection of specific parameters. Physical collision phenomena among these waves, including soliton-soliton and soliton-lump interactions, are explored in detail. A comparative analysis of solution behaviors is conducted for the first time, with overlapping regions and distinctions within their solution spaces highlighted using data points. To analyze the characteristics of these interaction solutions, the results are visually illustrated through 3D and 2D plots. Through this study, significant contributions are made to soliton theory and nonlinear wave research, enhancing the theoretical framework and introducing innovative methods for analyzing wave dynamics. [GRAPHICS] .
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
21100 - Other engineering and technologies
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
Nonlinear Dynamics
ISSN
0924-090X
e-ISSN
1573-269X
Volume of the periodical
113
Issue of the periodical within the volume
8
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
30
Pages from-to
8921-8950
UT code for WoS article
001378844800001
EID of the result in the Scopus database
2-s2.0-105001065470