The generalized soliton wave structures and propagation visualization for Akbota equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256442" target="_blank" >RIV/61989100:27740/24:10256442 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/document/doi/10.1515/zna-2024-0120/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/zna-2024-0120/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/zna-2024-0120" target="_blank" >10.1515/zna-2024-0120</a>
Alternative languages
Result language
angličtina
Original language name
The generalized soliton wave structures and propagation visualization for Akbota equation
Original language description
This paper explores in detail the integrable Akbota equation, a Heisenberg ferromagnet-type problem that is essential to the study of surface and curve geometry. A variety of soliton families are represented by the generalized solitonic wave profiles that are produced using the improved modified Sardar sub-equation technique, which is renowned for its accuracy and dependability. There has never been a study that used this technique before the current one. As a result, the solitonic wave structures have kink, dark, brilliant, king-singular, dark-singular, dark-bright, exponential, trigonometric, and rational solitonic structures, among other characteristics. In order to check the energy conservation, the Hamiltonian function is created and energy level demonstrated. The sensitivity analysis is also presented at various initial conditions. The graphical representation is also depicted along with the appropriate parametric values.
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
—
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
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
ISSN
0932-0784
e-ISSN
1865-7109
Volume of the periodical
79
Issue of the periodical within the volume
12
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
1075-1091
UT code for WoS article
001348864500001
EID of the result in the Scopus database
2-s2.0-85210169308