A plethora of novel solitary wave solutions related to van der Waals equation: a comparative study
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255715" target="_blank" >RIV/61989100:27740/24:10255715 - isvavai.cz</a>
Result on the web
<a href="https://www.nature.com/articles/s41598-024-65218-7" target="_blank" >https://www.nature.com/articles/s41598-024-65218-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-024-65218-7" target="_blank" >10.1038/s41598-024-65218-7</a>
Alternative languages
Result language
angličtina
Original language name
A plethora of novel solitary wave solutions related to van der Waals equation: a comparative study
Original language description
In this article, we explore exact solitary wave solutions to the van der Waals equation which is crucial for numerous applications involving a variety of physical occurrences. This system is used to define the behavior of real gases taking into consideration finite size of molecules and also has some applications in industry for granular materials. The model is studied under the effect of fractional derivatives by employing two different definitions: β, and M-truncated. Further, new extended direct algebraic method is employed to construct the solitary wave solutions for the model. The solutions transmit several novel solutions, such as dark-singular, dark-bright, singular-periodic and dark solutions, and this method establishes the conditions required for the formation of these structures. To show the comparative analysis between two different fractional operators, results are graphically represented in the form of 2-dimensional and 3-dimensional visualizations. (C) The Author(s) 2024.
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
2024
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
14
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
18
Pages from-to
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UT code for WoS article
001317187900004
EID of the result in the Scopus database
2-s2.0-85204311268