A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid
In this paper, we use secant hyperbolic ansatz with tanh-coth method, combined with Riccati equation to derive complex travelling wave solutions to the (3+1)-dimensional Korteweg-de-Vries (KdV) and (3+1)-dimensional KdV-Burgers equations. Both the complex solitary and periodic solutions for (3+1)-di...
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| Main Authors: | , , |
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| Format: | Article |
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Taylor and Francis Ltd.
2019
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/90060/ https://dx.doi.org/10.1080/09720502.2019.1675569 |
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| Summary: | In this paper, we use secant hyperbolic ansatz with tanh-coth method, combined with Riccati equation to derive complex travelling wave solutions to the (3+1)-dimensional Korteweg-de-Vries (KdV) and (3+1)-dimensional KdV-Burgers equations. Both the complex solitary and periodic solutions for (3+1)-dimensional KdV equation were obtained. For the (3+1)-dimensional KdVB equation, the real part is the sum of the shock wave solution of a (3+1) dimensional Burgers equation and the solitary wave solution of a (3+1)-dimensional KdV equation, while the imaginary part is the product of a shock wave solution of (3+1)-dimensional Burgers equation with a solitary wave solutions of (3+1)-dimensional KdV equation. |
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