Application of the New Mapping Method to Complex Three Coupled Maccari's System Possessing M-Fractional Derivative
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255726" target="_blank" >RIV/61989100:27740/24:10255726 - isvavai.cz</a>
Result on the web
<a href="https://dergipark.org.tr/en/pub/chaos/issue/86422/1414782" target="_blank" >https://dergipark.org.tr/en/pub/chaos/issue/86422/1414782</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.51537/chaos.1414782" target="_blank" >10.51537/chaos.1414782</a>
Alternative languages
Result language
angličtina
Original language name
Application of the New Mapping Method to Complex Three Coupled Maccari's System Possessing M-Fractional Derivative
Original language description
In this academic investigation, an innovative mapping approach is applied to complex three coupled Maccari's system to unveil novel soliton solutions. This is achieved through the utilization of M-Truncated fractional derivative with employing the new mapping method and computer algebraic syatem (CAS) such as Maple. The derived solutions in the form of hyperbolic and trigonometric functions. Our study elucidates a variety of soliton solutions such as periodic, singular, dark, kink, bright, dark-bright solitons solutions. To facilitate comprehension, with certain solutions being visually depicted through 2-dimensional, contour, 3-dimensional, and phase plots depicting bifurcation characteristics utilizing Maple software. Furthermore, the incorporation of M-Truncated derivative enables a more extensive exploration of solution patterns. Our study establishes a connection between computer science and soliton physics, emphasizing the pivotal role of soliton phenomena in advancing simulations and computational modelling. Analytical solutions are subsequently generated through the application of the new mapping method. Following this, a thorough examination of the dynamic nature of the equation is conducted from various perspectives. In essence, understanding the dynamic characteristics of systems is of great importance for predicting outcomes and advancing new technologies. This research significantly contributes to the convergence of theoretical mathematics and applied computer science, emphasizing the crucial role of solitons in scientific disciplines.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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
Chaos, Solitons & Fractals
ISSN
0960-0779
e-ISSN
1873-2887
Volume of the periodical
6
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
180-191
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85199019476