Some More Solutions of Burgers' Equation

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Kumar, Mukesh^1 ; Kumar, Raj^1

Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad

211004, India^1

关键词: Burgers' equations;    Lie symmetries;    Ordinary differential equation (ODE);    Partial differential equations (PDE);    Similarity solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012038/pdf
DOI  :  10.1088/1742-6596/574/1/012038

来源: IOP

【 摘 要 】

In this work, similarity solutions of viscous one-dimensional Burgers' equation are attained by using Lie group theory. The symmetry generators are used for constructing Lie symmetries with commuting infinitesimal operators which lead the governing partial differential equation (PDE) to ordinary differential equation (ODE). Most of the constructed solutions are found in terms of Bessel functions which are new as far as authors are aware. Effect of various parameters in the evolutional profile of the solutions are shown graphically and discussed them physically.