Qualitative analysis, exact solutions and symmetry reduction for a generalized (2＋1)-dimensional KP-MEW-Burgers equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10254851" target="_blank" >RIV/61989100:27740/24:10254851 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S096007792400198X?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S096007792400198X?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.chaos.2024.114647" target="_blank" >10.1016/j.chaos.2024.114647</a>

Result language

angličtina

Original language name

Qualitative analysis, exact solutions and symmetry reduction for a generalized (2＋1)-dimensional KP-MEW-Burgers equation

Original language description

The objective of this manuscript is to examine the non-linear characteristics of the modified equal width-Burgers equation, known as the generalized Kadomtsive-Petviashvili equation, and its ability to generate a long-wave with dispersion and dissipation in a nonlinear medium. We employ the Lie symmetry approach to reduce the dimension of the equation, resulting in an ordinary differential equation. Utilizing the newly developed generalized logistic equation method, we are able to derive solitary wave solutions for the aforementioned ordinary differential equation. In order to gain a deeper understanding of the physical implications of these solutions, we present them using various visual representations, such as 3D, 2D, density, and polar plots. Following this, we conduct a qualitative analysis of the dynamical systems and explore their chaotic behavior using bifurcation and chaos theory. To identify chaos within the systems, we utilize various chaos detection tools available in the existing literature. The results obtained from this study are novel and valuable for further investigation of the equation, providing guidance for future researchers. (C) 2024 Elsevier Ltd

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

10100 - Mathematics

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

Chaos, Solitons &amp; Fractals

ISSN

0960-0779

e-ISSN

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Volume of the periodical

181

Issue of the periodical within the volume

April

Country of publishing house

US - UNITED STATES

Number of pages

17

Pages from-to

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UT code for WoS article

001209206200001

EID of the result in the Scopus database

2-s2.0-85186504264