Kink wave solutions to KdV-Burgers equation with forcing term

In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abun-dantly 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 Burg...

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Bibliographic Details
Main Authors: Chukkol, Yusuf Buba, Muminov, Mukhiddin
Format: Article
Published: Korean Mathematical Society 2020
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Online Access:http://eprints.utm.my/id/eprint/90957/
http://dx.doi.org/10.4134/CKMS.c190119
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Summary:In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abun-dantly 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.