Dynamical visualization and propagation of soliton solutions of Akbota equation arising in surface geometry

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamical visualization and propagation of soliton solutions of Akbota equation arising in surface geometry

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Dynamical visualization and propagation of soliton solutions of Akbota equation arising in surface geometry

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Modern Physics Letters B

ISSN

0217-9849

e-ISSN

1793-6640

Svazek periodika

39

Číslo periodika v rámci svazku

17

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

40

Strana od-do

2550018

Kód UT WoS článku

001313704400005

EID výsledku v databázi Scopus

2-s2.0-85204202482