Shahen, N.H.M., Foyjonnesa Ali, M.S., Mamun, A.A. and Rahman, M.M. (2021) Interaction among Lump, Periodic, and Kink Solutions with Dynamical Analysis to the Conformable Time-Fractional Phi-Four Equation. Partial Differential Equations in Applied Mathematics, 4, Article ID: 100038.
https://doi.org/10.1016/j.padiff.2021.100038

has been cited by the following article:

• TITLE: Adequate Closed Form Wave Solutions to the Generalized KdV Equation in Mathematical Physics

  AUTHORS: Md. Munnu Miah, Md. Al Amin Meia, Md. Matiur Rahman Sarker, Ahammodullah Hasan

  KEYWORDS: The Generalized KdV Equation, The exp(-τ(ξ)) -Expansion Method, Travelling Wave, Solitary Wave

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.6, June 19, 2024

  ABSTRACT: In this paper, we consider the generalized Korteweg-de-Vries (KdV) equations which are remarkable models of the water waves mechanics, the shallow water waves, the quantum mechanics, the ion acoustic waves in plasma, the electro-hydro-dynamical model for local electric field, signal processing waves through optical fibers, etc. We determine the useful and further general exact traveling wave solutions of the above mentioned NLDEs by applying the exp( −τ( ξ ) ) -expansion method by aid of traveling wave transformations. Furthermore, we explain the physical significance of the obtained solutions of its definite values of the involved parameters with graphic representations in order to know the physical phenomena. Finally, we show that the exp( −τ( ξ ) ) -expansion method is convenient, powerful, straightforward and provide more general solutions and can be helping to examine vast amount of travelling wave solutions to the other different kinds of NLDEs.