Soliton formations for magnetohydrodynamic viscous flow over a nonlinear stretching sheet

Pramana: Journal of physics

QAZI MAHMOOD UL-HASSAN^2¹  KAMRAN AYUB^1²  M YAQUB KHAN^1³ 

[1] Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, AJ&K, Pakistan^3;Department of Mathematics, Riphah International University, Islamabad, Pakistan^1;Department of Mathematics, University of Wah, Wah Cantonment, Pakistan^2

关键词: Magnetic field;    viscous flow;    transformed rational function method;    stretching sheet;    Maple 18;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In the present paper, the main focus is to study soliton formations of a two-dimensional magnetohydrodynamic flow over a nonlinear stretching sheet with the help of transformed rational function method. The fluid is electrically conductive, normal to the stretching sheet and there is no induced magnetic field. The flowproblem is described by the continuity and momentum equation with suitable boundary conditions. For solving the model, the nonlinearity poses a great challenge. Nonlinear partial differential equation has been converted into a nonlinear ordinary differential equation by using similarity transformations, and then a trial solution is assumed. The results indicate complete consistency and effectiveness of the suggested scheme compared with the existing literature.

【 授权许可】

CC BY