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

Pramana: Journal of physics

M S OSMAN^1,2¹ 

[1] Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt^1;Department of Mathematics, Duba University College, University of Tabuk, Tabuk, Saudi Arabia^2

关键词: Coupled fractional variant Boussinesq equation;    conformable derivatives;    unified method;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

CC BY