Kink wave solutions to KdV-Burgers equation with forcing term
Commun. Korean Math. Soc. 2020 Vol. 35, No. 2, 685-695
https://doi.org/10.4134/CKMS.c190119
Published online April 6, 2020
Yusuf Buba Chukkol, Mukhiddin Muminov
Universiti Teknologi Malaysia; Universiti Teknologi Malaysia
Abstract : In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abundantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burgers equation and the solitary wave solution of a KdV equation with forcing term, while the imaginary part is the product of a shock wave solution of Burgers with a solitary wave travelling solution of KdV equation. The method gives more solutions than the previous methods.
Keywords : KdVB equation, Riccati equation, secant hyperbolic ansatz, modified tanh-coth method
MSC numbers : 35Q53, 35Q51, 35L75
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