We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The Enhancement of Energy-Carrying Capacity in Liquid with Gas Bubbles, in Terms of Solitons.
- Authors
Asghar, Umair; Faridi, Waqas Ali; Asjad, Muhammad Imran; Eldin, Sayed M.
- Abstract
A generalized (3 + 1)-dimensional nonlinear wave is investigated, which defines many nonlinear phenomena in liquid containing gas bubbles. Basic theories of the natural phenomenons are usually described by nonlinear evolution equations, for example, nonlinear sciences, marine engineering, fluid dynamics, scientific applications, and ocean plasma physics. The new extended algebraic method is applied to solve the model under consideration. Furthermore, the nonlinear model is converted into an ordinary differential equation through the next wave transformation. A well-known analytical approach is used to obtain more general solutions of different types with the help of Mathematica. Shock, singular, mixed-complex solitary-shock, mixed-singular, mixed-shock singular, mixed trigonometric, periodic, mixed-periodic, mixed-hyperbolic solutions are obtained. As a result, it is found that the energy-carrying capacity of liquid with gas bubbles and its propagation can be increased. The stability of the considered model is ensured by the modulation instability gain spectrum generated and proposed with acceptable constant values. Two-dimensional, three-dimensional, and contour surfaces are plotted to see the physical properties of the obtained solutions.
- Subjects
LIQUEFIED gases; NONLINEAR evolution equations; ORDINARY differential equations; SOLITONS; BUBBLES; PLASMA physics
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 11, p2294
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14112294