会议论文详细信息
3rd International Conference on Mathematical Modeling in Physical Sciences | |
Some More Solutions of Burgers' Equation | |
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 |
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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.
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