THE EXACT MEROMORPHIC SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS  

作　　者：刘慧芳 毛志强 Huifang LIU;Zhiqiang MAO(School of Mathematics and Statistics,Jiangxi Normal University,Nanchang,330022,China;School of Mathematics and Computer,Jiangxi Science and Technology Normal University,Nanchang,330038,China)

机构地区：[1]School of Mathematics and Statistics,Jiangxi Normal University,Nanchang,330022,China [2]School of Mathematics and Computer,Jiangxi Science and Technology Normal University,Nanchang,330038,China

出　　处：《Acta Mathematica Scientia》2024年第1期103-114,共12页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12261044);the STP of Education Department of Jiangxi Province of China(GJJ210302)。

摘　　要：We find the exact forms of meromorphic solutions of the nonlinear differential equations■,n≥3,k≥1,where q,Q are nonzero polynomials,Q■Const.,and p_(1),p_(2),α_(1),α_(2)are nonzero constants withα_(1)≠α_(2).Compared with previous results on the equation p(z)f^(3)+q(z)f"=-sinα(z)with polynomial coefficients,our results show that the coefficient of the term f^((k))perturbed by multiplying an exponential function will affect the structure of its solutions.

关 键 词：Nevanlinna theory nonlinear differential equations meromorphic functions entire functions 

分 类 号：O175[理学—数学]