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Kink wave solutions to KdV-Burgers equation with forcing term

Chukkol, Yusuf Buba and Muminov, Mukhiddin (2020) Kink wave solutions to KdV-Burgers equation with forcing term. Communications of the Korean Mathematical Society, 35 (2). pp. 685-695. ISSN 1225-1763

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Official URL: http://dx.doi.org/10.4134/CKMS.c190119

Abstract

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.

Item Type:Article
Uncontrolled Keywords:KdVB equation, Riccati equation
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:90957
Deposited By: Widya Wahid
Deposited On:31 May 2021 13:28
Last Modified:31 May 2021 13:28

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