Analytical solutions fractional order partial differential equations arising in fluid dynamics  

作　　者：Sidheswar Behera Jasvinder Singh Pal Virdi 

机构地区：[1]Department of Physics,Veer Surendra Sai University of Technology,Odisha,India

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第3期458-468,共11页高校应用数学学报（英文版）（B辑）

摘　　要：This article describes the solution procedure of the fractional Pade-Ⅱ equation and generalized Zakharov equation(GSEs)using the sine-cosine method.Pade-Ⅱ is an important nonlinear wave equation modeling unidirectional propagation of long-wave in dispersive media and GSEs are used to model the interaction between one-dimensional high,and low-frequency waves.Classes of trigonometric and hyperbolic function solutions in fractional calculus are discussed.Graphical simulations of the numerical solutions are flaunted by MATLAB.

关 键 词：the sine-cosine method He's fractional derivative analytical solution fractional Pade-Ⅱequation fractional generalized Zakharov equation 

分 类 号：O35[理学—流体力学] O175.2[理学—力学]