Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations

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• 作者：Haret C. Rosu^a ; ^{hcr@ipicyt.edu.mx} ; Stefan C. Mancas^b ; ^{mancass@erau.edu}
• 关键词：Generalized Thomas&ndash ; Fermi equation ; Emden&ndash ; Fowler equation ; Abel equation ; Invariant ; Dynamical systems
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：471
• 期：Complete
• 页码：212-218
• 全文大小：748 K
• 卷排序：471

文摘

Class of generalized Thomas–Fermi equations are shown to be nonintegrable. Related Abel equation is used in the proof. Corresponding dynamical systems display a stable node and three nonstable saddle points.