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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Korean Mathematical Society
2020
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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. |
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