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Article 2025 · 1 atıf

Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg-de Viries Equation in Fluid Dynamics

Celik, Ercan

Özet

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.

Anahtar Kelimeler
(1/<italic>G</italic>')-expansion method analytic solution asymptotic analysis non-linear wave propagation time regularised long wave equation MODEL
WoS Kategorileri
Physics, Mathematical
Künye
Dergi
ADVANCES IN MATHEMATICAL PHYSICS
Yıl
2025
Cilt
2025
Sayı
1
ISSN
1687-9120
eISSN
1687-9139
DOI
10.1155/admp/8619224
WoS UID
WOS:001396427200001
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