Dynamical visualization and propagation of soliton solutions of Akbota equation arising in surface geometry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10255725" target="_blank" >RIV/61989100:27740/25:10255725 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S0217984925500186?srsltid=AfmBOootT2bLgtT--kHXBRD5bVNdK0sip0FruMEOcOXB4QlV_JT9YdV3" target="_blank" >https://www.worldscientific.com/doi/10.1142/S0217984925500186?srsltid=AfmBOootT2bLgtT--kHXBRD5bVNdK0sip0FruMEOcOXB4QlV_JT9YdV3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0217984925500186" target="_blank" >10.1142/S0217984925500186</a>
Alternative languages
Result language
angličtina
Original language name
Dynamical visualization and propagation of soliton solutions of Akbota equation arising in surface geometry
Original language description
This paper thoroughly investigates the integrable Akbota equation, a Heisenberg ferromagnet-type equation that plays a crucial role in exploring curve and surface geometry. The phi 6-model expansion method, known for its proficiency and reliability, is applied to generate generalized solitonic wave profiles, spanning a diverse range of soliton families. Prior to this study, there is no existing study in which this technique is utilized that ensured the existence of solution via development of conditions. On the other hand, this method is provided with the Jacobi elliptic function-based solutions with the limiting cases. The analytical strategy presented a notable advantage by specifying a constraint for each solution, ensuring its existence. Consequently, the solitonic wave structures exhibit various attributes, including the Jacobi elliptic function, periodicity, brightness, dark-brightness, singularity, exponential, trigonometry, and rational solitonic structures. These characteristics emerge under previously unexplored existence conditions. The results are visually depicted through 2D, 3D, and contour plots, providing a clear illustration of the behavioral responses to pulse propagation and allowing for the inference of fitting values for system parameters. This visualization offers valuable insights into the characteristics and dynamics of soliton solutions derived from the integrable Akbota equation.
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
Modern Physics Letters B
ISSN
0217-9849
e-ISSN
1793-6640
Volume of the periodical
39
Issue of the periodical within the volume
17
Country of publishing house
SG - SINGAPORE
Number of pages
40
Pages from-to
2550018
UT code for WoS article
001313704400005
EID of the result in the Scopus database
2-s2.0-85204202482