Chukkol, Y. B. and Mohamad, M. N. and Muminov, M. I.
(2019)
*A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid.*
Journal of Interdisciplinary Mathematics, 22
(5).
pp. 773-785.
ISSN 0972-0502

Full text not available from this repository.

Official URL: https://dx.doi.org/10.1080/09720502.2019.1675569

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | shock waves, KdV equation, KdVB equation |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 90060 |

Deposited By: | Narimah Nawil |

Deposited On: | 29 Mar 2021 05:57 |

Last Modified: | 29 Mar 2021 05:57 |

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