On lump, travelling wave solutions and the stability analysis for the (3+1)-dimensional nonlinear fractional generalized shallow water wave model in fluids

The shallow water equation, which describes fluid flow below a pressure surface, is the structure that is most frequently used for displaying free surface flows. This particular kind of approach takes into consideration the impact of gravity on fluids through the inclusion of a source term proportio...

Full description

Saved in:
Bibliographic Details
Published in:Optical and quantum electronics 2024-02, Vol.56 (2), Article 244
Main Authors: Badshah, Fazal, Tariq, Kalim U., Inc, Mustafa, Mehboob, Fozia
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Collisions
Computer Communication Networks
Electrical Engineering
Elliptic functions
Exact solutions
Fluid flow
Free surfaces
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Shallow water equations
Solitary waves
Stability analysis
Traveling waves
Water levels
Water waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The shallow water equation, which describes fluid flow below a pressure surface, is the structure that is most frequently used for displaying free surface flows. This particular kind of approach takes into consideration the impact of gravity on fluids through the inclusion of a source term proportional to the product of the water level and ground slopes. The given model is converted into a bilinear form using the Hirota bilinear method. Which refers to the development of lump waves, collisions between lump waves and periodic waves, collisions between lump waves and single- and double-kink soliton solutions, and collisions between lump, periodic, and single- and double-kink soliton solutions. Furthermore, the exp ( - ϱ ( ς ) ) approach are applied to obtain several forms of innovative combinations for the governing dynamical fractional model. In addition, it has been confirmed that the established results are stable, and it has been helpful to validate the calculations. Moreover, multiple intriguing exact solutions are utilized to illustrate the physical nature of 3D, contour, and 2D graphs. The solution yields a set of bright, dark, periodic, rational, and elliptic function solutions.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-023-05826-1