Universiti Teknologi Malaysia Institutional Repository

Bright and dark soliton solutions of three-dimensional KdV and mKdV equations in inviscid liquid with gas bubbles

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

Full text not available from this repository.

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
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

Repository Staff Only: item control page