Application of the New Mapping Method to Complex Three Coupled Maccari's System Possessing M-Fractional Derivative

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of the New Mapping Method to Complex Three Coupled Maccari's System Possessing M-Fractional Derivative

Popis výsledku v původním jazyce

In this academic investigation, an innovative mapping approach is applied to complex three coupled Maccari&apos;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.

Název v anglickém jazyce

Application of the New Mapping Method to Complex Three Coupled Maccari's System Possessing M-Fractional Derivative

Popis výsledku anglicky

In this academic investigation, an innovative mapping approach is applied to complex three coupled Maccari&apos;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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Chaos, Solitons &amp; Fractals

ISSN

0960-0779

e-ISSN

1873-2887

Svazek periodika

6

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

12

Strana od-do

180-191

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85199019476