Exploring Wave Interactions and Conserved Quantities of KdV-Caudrey-Dodd-Gibbon Equation Using Lie Theory

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255730" target="_blank" >RIV/61989100:27740/24:10255730 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2227-7390/12/14/2242" target="_blank" >https://www.mdpi.com/2227-7390/12/14/2242</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math12142242" target="_blank" >10.3390/math12142242</a>

Result language

angličtina

Original language name

Exploring Wave Interactions and Conserved Quantities of KdV-Caudrey-Dodd-Gibbon Equation Using Lie Theory

Original language description

This study introduces the KdV-Caudrey-Dodd-Gibbon (KdV-CDGE) equation to describe long water waves, acoustic waves, plasma waves, and nonlinear optics. Employing a generalized new auxiliary equation scheme, we derive exact analytical wave solutions, revealing rational, exponential, trigonometric, and hyperbolic trigonometric structures. The model also produces periodic, dark, bright, singular, and other soliton wave profiles. We compute classical and translational symmetries to develop abelian algebra, and visualize our results using selected parameters. (C) 2024 by the authors.

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

Mathematics

ISSN

2227-7390

e-ISSN

2227-7390

Volume of the periodical

12

Issue of the periodical within the volume

14

Country of publishing house

CH - SWITZERLAND

Number of pages

12

Pages from-to

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UT code for WoS article

001277438600001

EID of the result in the Scopus database

2-s2.0-85199902427