Demonstration of Sensitive Analysis and Optical Soliton Patterns in a (4+1) Dimensional Boiti-Leon-Manna Pempinelli Equation: Dynamic Insights into Bifurcation, Chaotic Behavior

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257617" target="_blank" >RIV/61989100:27740/25:10257617 - isvavai.cz</a>

Výsledek na webu

<a href="https://dergipark.org.tr/en/pub/chaos/issue/90440/1518307" target="_blank" >https://dergipark.org.tr/en/pub/chaos/issue/90440/1518307</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.51537/chaos.1518307" target="_blank" >10.51537/chaos.1518307</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Demonstration of Sensitive Analysis and Optical Soliton Patterns in a (4+1) Dimensional Boiti-Leon-Manna Pempinelli Equation: Dynamic Insights into Bifurcation, Chaotic Behavior

Popis výsledku v původním jazyce

This study aims to find exact solutions for a mathematical problem known as the (4+1)-dimensional Boiti Leon Manna Pempinelli (BLMP) equation. In order to convert the governing equation into an ordinary differential equation, we make use of an appropriate wave transformation. This transformation enables the investigation of mathematical solutions, exaggerated outcomes, and normal solutions. Furthermore, in order to accurately determine the solution to this wave, we make use of the modified Khater method. We apply the given approach to find rational, the trigonometric, and hyperbolic solutions. The selected solutions provide graphic representations that accurately depict the physical behavior of the model. Using their visualization, we are able to demonstrate how their behavior changes over time in a four-dimensional space. The use of a visual representation, which involves selecting suitable values for arbitrary components, improves the understanding of the dynamical system. Furthermore, we conduct a sensitivity analysis of the dynamical system to determine the stability of the solution. The dynamical system engages in a discussion about the existence of chaotic dynamics within the Boiti Leon Manna Pempinelli equation. It is possible to depict these chaotic phenomena using two-dimensional and three-dimensional phase portraits.

Název v anglickém jazyce

Demonstration of Sensitive Analysis and Optical Soliton Patterns in a (4+1) Dimensional Boiti-Leon-Manna Pempinelli Equation: Dynamic Insights into Bifurcation, Chaotic Behavior

Popis výsledku anglicky

This study aims to find exact solutions for a mathematical problem known as the (4+1)-dimensional Boiti Leon Manna Pempinelli (BLMP) equation. In order to convert the governing equation into an ordinary differential equation, we make use of an appropriate wave transformation. This transformation enables the investigation of mathematical solutions, exaggerated outcomes, and normal solutions. Furthermore, in order to accurately determine the solution to this wave, we make use of the modified Khater method. We apply the given approach to find rational, the trigonometric, and hyperbolic solutions. The selected solutions provide graphic representations that accurately depict the physical behavior of the model. Using their visualization, we are able to demonstrate how their behavior changes over time in a four-dimensional space. The use of a visual representation, which involves selecting suitable values for arbitrary components, improves the understanding of the dynamical system. Furthermore, we conduct a sensitivity analysis of the dynamical system to determine the stability of the solution. The dynamical system engages in a discussion about the existence of chaotic dynamics within the Boiti Leon Manna Pempinelli equation. It is possible to depict these chaotic phenomena using two-dimensional and three-dimensional phase portraits.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10305 - Fluids and plasma physics (including surface physics)

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

Chaos Theory and Applications

ISSN

2687-4539

e-ISSN

2687-4539

Svazek periodika

7

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

TR - Turecká republika

Počet stran výsledku

9

Strana od-do

nestránkováno

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-105001100709