Exploring the optical soliton solutions of Heisenberg ferromagnet-type of Akbota equation arising in surface geometry by explicit approach

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255159" target="_blank" >RIV/61989100:27740/24:10255159 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s11082-024-06904-8" target="_blank" >https://link.springer.com/article/10.1007/s11082-024-06904-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11082-024-06904-8" target="_blank" >10.1007/s11082-024-06904-8</a>

Result language

angličtina

Original language name

Exploring the optical soliton solutions of Heisenberg ferromagnet-type of Akbota equation arising in surface geometry by explicit approach

Original language description

This work tackles the Heisenberg ferromagnet-type integrable Akbota equation. The Akbota equation is significant model to visualize and study the surface geometry and curve analysis. The Akbota equation is an integrable coupled system of differential equations with soliton solutions. It is a crucial tool for researching nonlinear phenomena in differential geometry of curves and surfaces, magnetism, and optics. The generalized projective Riccati equation method, the Sardar sub-equation method, and the G &apos;/G(2)-expansion method are the three separate analytical techniques used in this work. By using these approaches, exact analytical solutions for soliton waves are obtained, including dark, bright, singular, singular periodic, trigonometric, and hyperbolic waves. The creation of theoretical frameworks and the generalization of findings are made possible by analytical solutions. Researchers can frequently find patterns and relationships that apply more broadly by developing analytical solutions to particular cases, which results in the development of new theories and principles. The manuscript includes graphical representations, such as contour plots and two- or three-dimensional visualizations, in addition to theoretical derivations. These examples examine the propagation properties of the obtained soliton solutions and provide a promising basis for further research. Before this study, there is not existing any study in which, someone used these approaches and found solitons solutions.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10300 - Physical sciences

Project

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Continuities

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Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Optical And Quantum Electronics

ISSN

0306-8919

e-ISSN

1572-817X

Volume of the periodical

56

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

25

Pages from-to

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UT code for WoS article

001217721200021

EID of the result in the Scopus database

2-s2.0-85192518559