Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256451" target="_blank" >RIV/61989100:27740/24:10256451 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.aimspress.com/article/doi/10.3934/math.2024808" target="_blank" >https://www.aimspress.com/article/doi/10.3934/math.2024808</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/math.2024808" target="_blank" >10.3934/math.2024808</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation

Popis výsledku v původním jazyce

The (2 + 1) -dimensional Cha ff ee -Infante equation (CIE) is a significant model of the ionacoustic waves in plasma. The primary objective of this paper was to establish and examine closedform soliton solutions to the CIE using the modified extended direct algebraic method (m -EDAM), a mathematical technique. By using a variable transformation to convert CIE into a nonlinear ordinary di ff erential equation (NODE), which was then reduced to a system of nonlinear algebraic equations with the assumption of a closed -form solution, the strategic m -EDAM was implemented. When the resulting problem was solved using the Maple tool, many soliton solutions in the shapes of rational, exponential, trigonometric, and hyperbolic functions were produced. By using illustrated 3D and density plots to evaluate several soliton solutions for the provided definite values of the parameters, it was possible to determine if the soliton solutions produced for CIE are cuspon or kink solitons. Additionally, it has been shown that the m -EDAM is a robust, useful, and user-friendly instrument that provides extra generic wave solutions for nonlinear models in mathematical physics and engineering.

Název v anglickém jazyce

Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation

Popis výsledku anglicky

The (2 + 1) -dimensional Cha ff ee -Infante equation (CIE) is a significant model of the ionacoustic waves in plasma. The primary objective of this paper was to establish and examine closedform soliton solutions to the CIE using the modified extended direct algebraic method (m -EDAM), a mathematical technique. By using a variable transformation to convert CIE into a nonlinear ordinary di ff erential equation (NODE), which was then reduced to a system of nonlinear algebraic equations with the assumption of a closed -form solution, the strategic m -EDAM was implemented. When the resulting problem was solved using the Maple tool, many soliton solutions in the shapes of rational, exponential, trigonometric, and hyperbolic functions were produced. By using illustrated 3D and density plots to evaluate several soliton solutions for the provided definite values of the parameters, it was possible to determine if the soliton solutions produced for CIE are cuspon or kink solitons. Additionally, it has been shown that the m -EDAM is a robust, useful, and user-friendly instrument that provides extra generic wave solutions for nonlinear models in mathematical physics and engineering.

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

2024

Kód důvěrnosti údajů

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

Název periodika

AIMS Mathematics

ISSN

2473-6988

e-ISSN

2473-6988

Svazek periodika

9

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

16666-16686

Kód UT WoS článku

001243908200004

EID výsledku v databázi Scopus

2-s2.0-85193391692