Articles written in Pramana – Journal of Physics
Volume 96 All articles Published: 24 March 2022 Article ID 0064 Research Article
Analytical approach for travelling wave solution of non-linear fifth-order time-fractional Korteweg–De Vries equation
DELMAR SHERRIFFE DIPTIRANJAN BEHERA
In this paper, we have studied analytical travelling wave solution of a non-linear fifth-order time fractional Korteweg–De Vries (KdV) equation under the conformal fractional derivative.
This equation is very important as it has many applications in various fields such as fluid dynamics, plasma physics, shallow water waves etc. Also, most importantly, the considered
fractional-order derivative plays a vital role as it can be varied to obtain different waves. Here, a new form of exact travelling wave solution is derived using the powerful sine–cosine method.
To understand the physical phenomena, some visual representations of the solution by varying different parameters are given. Accordingly, it has been observed that the obtained wave
solutions are solitons in nature. Also,from the results, one can conclude that the corresponding wave of the solution will translate from left to right by increasing the fractional order
Volume 97, 2023
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