Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258861" target="_blank" >RIV/61989100:27740/25:10258861 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S2590123025039398" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2590123025039398</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.rineng.2025.107888" target="_blank" >10.1016/j.rineng.2025.107888</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation

Popis výsledku v původním jazyce

In this work, a two-dimensional nonlinear wave convection-diffusion equation is studied using the symmetry-based techniques, specifically Lie-symmetry approach. Through characteristic-based similarity transformations, the nonlinear wave convection-diffusion equation is simplified to ordinary differential equations, enabling the derivation of exact solutions. Moreover, traveling wave and periodic solutions are also determined using effective approaches such as tanh method, which describes localized wave structures, and the Jacobi elliptic function method, for capturing periodic waveforms. These solutions are further illustrated through 2D, 3D and contour graphical representations to highlight their physical interpretations. In addition, conservation laws are derived using the multiplier method. The flux fields corresponding to each conservation law are plotted for better understanding of their physical meaning. The results offer valuable insight into the underlying structure and behavior of solutions to nonlinear wave convection-diffusion equations and similar complex systems.

Název v anglickém jazyce

Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation

Popis výsledku anglicky

In this work, a two-dimensional nonlinear wave convection-diffusion equation is studied using the symmetry-based techniques, specifically Lie-symmetry approach. Through characteristic-based similarity transformations, the nonlinear wave convection-diffusion equation is simplified to ordinary differential equations, enabling the derivation of exact solutions. Moreover, traveling wave and periodic solutions are also determined using effective approaches such as tanh method, which describes localized wave structures, and the Jacobi elliptic function method, for capturing periodic waveforms. These solutions are further illustrated through 2D, 3D and contour graphical representations to highlight their physical interpretations. In addition, conservation laws are derived using the multiplier method. The flux fields corresponding to each conservation law are plotted for better understanding of their physical meaning. The results offer valuable insight into the underlying structure and behavior of solutions to nonlinear wave convection-diffusion equations and similar complex systems.

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

2025

Kód důvěrnosti údajů

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

Název periodika

Results in Engineering

ISSN

2590-1230

e-ISSN

2590-1230

Svazek periodika

28

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

107888

Kód UT WoS článku

001608183600004

EID výsledku v databázi Scopus

2-s2.0-105020959699