New analytical study of water waves described by coupled fractional variant Boussinesq equation in fluid dynamics

• Published in: Pramāṇa Vol. 93; no. 2; pp. 1 - 10
• Main Author: Osman, M S
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.08.2019; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Astroparticles; Boussinesq equations; Computational fluid dynamics; Exact solutions; Fluid dynamics; Nonlinear differential equations; Observations and Techniques; Ordinary differential equations; Partial differential equations; Physics; Physics and Astronomy; Polynomials; Rational functions; Water waves; Coupled fractional variant Boussinesq equation; unified method; 02.30.Jr; 94.05.Fg; 05.45.Yv; conformable derivatives
• ISSN: 0304-4289; 0973-7111
• DOI: 10.1007/s12043-019-1785-4

The main objective of this paper is to introduce an analytical study for the water wave solutions of coupled fractional variant Boussinesq equation, which is modelled to investigate the waves in fluid dynamics. Wave transformation in fractional form is applied to convert the original fractional-order nonlinear partial differential equation into another nonlinear ordinary differential equation. The strategy here is to use the unified method to obtain a variety of exact solutions. The unified method works well and reveals distinct exact solutions which are classified into two different types, namely polynomial function and rational function solutions. The results are also depicted graphically for different values of fractional parameter. These findings are highly encouraging and have significant importance for some special physical phenomena in fluid dynamics