Lumps, solitons, modulation instability and stability analysis for the novel generalized (2+1)-dimensional nonlinear model arising in shallow water
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257898" target="_blank" >RIV/61989100:27740/25:10257898 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1110016825004181" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1110016825004181</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aej.2025.03.110" target="_blank" >10.1016/j.aej.2025.03.110</a>
Alternative languages
Result language
angličtina
Original language name
Lumps, solitons, modulation instability and stability analysis for the novel generalized (2+1)-dimensional nonlinear model arising in shallow water
Original language description
In this study, the (2+1)-dimensional Kadomtsev-Petviashvili type equation is investigated that describes the nonlinear wave patterns of behavior and properties in oceanography, fluid dynamics, and shallow water. Firstly, the Hirota bilinear form is implemented to develop a variety of lump, strip soliton and periodic waves solutions for the governing model. Furthermore, some interesting traveling and semi-analytical solitons are generated by availing the extended modified auxiliary equation mapping technique and the Adomian decomposition algorithm. Moreover, in order to determine the absolute error, we have constructed a juxtapose of approximate and soliton results. Additionally, we deliberate the stability analysis and the modulation instability for the governing model extensively to validate the scientific computations. Moreover, the graphical portrayals which include contour plots, 2D and 3D models are illustrated that are useful for understanding the behaviors and dynamics presented by the model's solutions. The findings of current study are quite novel and make a big contribution to soliton dynamics and mathematical physics.
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
Alexandria Engineering Journal
ISSN
1110-0168
e-ISSN
2090-2670
Volume of the periodical
126
Issue of the periodical within the volume
July
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
45-52
UT code for WoS article
001482161600001
EID of the result in the Scopus database
2-s2.0-105003139969