Article
2025
·
1 citations
Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg-de Viries Equation in Fluid Dynamics
Abstract
In this paper, we investigate the physical significance of the time regularised long wave (TRLW) equation within the realm of mathematics. Other varieties of travelling wave solutions to the analysed problem in hyperbolic form are looked at using the (1/G ')-expansion method. Physically, the singular point's shock wave structure offers the framework for asymptotic mathematics analyses. It offers a scientific perspective on the phenomenon of non-linear propagation. By giving particular values to constants in solutions, 3-D, contour, and 2-D graphs can depict the state of the wave at any given time.
Keywords
(1/<italic>G</italic>')-expansion method
analytic solution
asymptotic analysis
non-linear wave propagation
time regularised long wave equation
MODEL
WoS Categories
Physics, Mathematical
Citation
- Journal
- ADVANCES IN MATHEMATICAL PHYSICS
- Year
- 2025
- Volume
- 2025
- Issue
- 1
- ISSN
- 1687-9120
- eISSN
- 1687-9139
- DOI
- 10.1155/admp/8619224
- WoS UID
- WOS:001396427200001