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

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  • Ercan Çelik

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.

Suggested Citation

  • Ercan Çelik, 2025. "Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg-de Viries Equation in Fluid Dynamics," Advances in Mathematical Physics, Hindawi, vol. 2025, pages 1-6, January.
    • Handle: RePEc:hin:jnlamp:8619224
    DOI: 10.1155/admp/8619224
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