Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Results in Engineering
ISSN
2590-1230
e-ISSN
2590-1230
Volume of the periodical
28
Issue of the periodical within the volume
December
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
107888
UT code for WoS article
001608183600004
EID of the result in the Scopus database
2-s2.0-105020959699