Pole's decomposition for Burgers' hierarchy with dynamical systems of poles for solutions of its first and second level

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Malloki, Inaam A.^1 ; Mutashar, Hussein Jameel^2

Department of Mathematics, College of Science, University of Mustansiriya, Baghdad, Iraq^1

irq, Baghdad, Baghdad^2

关键词: Decomposition property;    Rational solution;    Second level;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012028/pdf
DOI  :  10.1088/1757-899X/571/1/012028

来源: IOP

【 摘 要 】

Singularities (poles in particular) often occur in solutions of partial differential equations. In this paper we consider the Burgers hierarchy family of equations. We prove that this family enjoys poles decomposition property. This property may provide rational solutions with movable poles. We find the motion of these poles as dynamical systems for the first and second level of the hierarchy.