Chukkol, Yusuf Buba and Muminov, Mukhiddin (2020) Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles. International Journal of Mathematics and Computer Science, 15 (1). pp. 253-264. ISSN 1814-0424
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Official URL: http://ijmcs.future-in-tech.net/15.1/R-Chukhol.pdf
Abstract
Mixture of liquid with gas bubbles are found in many areas of natural and physical sciences especially in engineering and industries, where nonlinear wave propagation is a common phenomenon. In this paper, we obtained the bright and dark soliton solutions of the three-dimensional Korteweg-de-Vries (KdV) equation and three-dimensional modified Korteweg-de-Vries (mKdV) equation in an inviscid bubbly liquid flow. Bright soliton solutions of these equations were derived analytically using a secant hyperbolic wave ansatz, while the dark soliton solutions of the equations were obtained explicitly using tan-gent hyperbolic wave ansatz. The physical parameters in the soliton solutions are obtained.
Item Type: | Article |
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Uncontrolled Keywords: | bubbly liquid, three-dimensional KdV equation, three-dimensional mKdV equation |
Subjects: | Q Science > QA Mathematics |
Divisions: | Science |
ID Code: | 92679 |
Deposited By: | Yanti Mohd Shah |
Deposited On: | 28 Oct 2021 10:25 |
Last Modified: | 28 Oct 2021 10:25 |
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