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

机译：POLE对汉堡的层次分解，具有杆子动力系统，用于其第一和第二级的解决方案

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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.

机译：奇点（特别是杆子）经常发生在部分微分方程的解。在本文中，我们考虑汉堡阶层的等级系列。我们证明这个家庭享有杆子分解属性。该物业可提供可移动磁极的合理解决方案。我们发现这些磁极的运动作为动态系统，用于第一层级的第一和第二级。

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《International Scientific Conference on Pure Sciences, Brilliant Creativity and Renewed Building》|2019年|640 p.|共11页
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Inaam A. Malloki; Hussein Jameel Mutashar;
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中图分类工程材料学;
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1. The pole dynamics of rational solutions of the viscous Burgers equation [J] . Deconinck B, Kimura Y, Segur H Journal of physics, A. Mathematical and theoretical . 2007,第20期

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2. Extension of the pole decomposition for the multidimensional Burgers equation - art. no. 067301 [J] . Frisch U., Mineev-Weinstein M. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2003,第6aPta2期

机译：多维Burgers方程极点分解的扩展-艺术。没有。 067301
3. An Overview of Modular Multilevel Converters in HVDC Transmission Systems With STATCOM Operation During Pole-to-Pole DC Short Circuits [J] . Thanh Hai Nguyen, Al Hosani Khalifa, El Moursi Mohamed Shawky, IEEE Transactions on Power Electronics . 2019,第5期

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4. Pole's decomposition for Burgers' hierarchy with dynamical systems of poles for solutions of its first and second level [C] . Inaam A. Malloki, Hussein Jameel Mutashar International Scientific Conference on Pure Sciences, Brilliant Creativity and Renewed Building . 2019

机译：POLE对汉堡的层次分解，具有杆子动力系统，用于其第一和第二级的解决方案
5. Dynamic analysis of multi-degree-of-freedom systems using a pole-residue method. [D] . Goodell, Kevin A. 2016

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6. Integrated Bare Narrow Capillary–Hydrodynamic Chromatographic System for Free-Solution DNA Separation at the Single-Molecule Level [O] . Zaifang Zhu, Huang Chen, Dr. Wei Wang, -1

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7. Pole Dynamics And Oscillations For Complex Burgers Equation In The Small Dispersion Limit [O] . D. Senouf, R. Caflisch, N. Ercolani 2007

机译：小色散极限中复杂Burgers方程的极点动力学和振动性
8. Multiple pole solutions of the AKNS hierarchy and its reductions. [R] . Gu, X. 1989

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

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