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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my.utm.900602021-03-29T05:57:54Z http://eprints.utm.my/id/eprint/90060/ A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid Chukkol, Y. B. Mohamad, M. N. Muminov, M. I. QA Mathematics 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. Taylor and Francis Ltd. 2019 Article PeerReviewed 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 https://dx.doi.org/10.1080/09720502.2019.1675569 DOI: 10.1080/09720502.2019.1675569 |
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QA Mathematics Chukkol, Y. B. Mohamad, M. N. Muminov, M. I. A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
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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. |
| format |
Article |
| author |
Chukkol, Y. B. Mohamad, M. N. Muminov, M. I. |
| author_facet |
Chukkol, Y. B. Mohamad, M. N. Muminov, M. I. |
| author_sort |
Chukkol, Y. B. |
| title |
A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
| title_short |
A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
| title_full |
A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
| title_fullStr |
A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
| title_full_unstemmed |
A complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
| title_sort |
complex solution to (3+1)-dimensional kdv and (3+1)-dimensional kdv-burger equations in bubbly liquid |
| publisher |
Taylor and Francis Ltd. |
| publishDate |
2019 |
| url |
http://eprints.utm.my/id/eprint/90060/ https://dx.doi.org/10.1080/09720502.2019.1675569 |
| _version_ |
1696976255732154368 |
| score |
13.251813 |