ANALYTIC SOLUTIONS OF AN ITERATIVE EQUATION WITH FIRST ORDER DERIVATIVE 被引量：6

ANALYTIC SOLUTIONS OF AN ITERATIVE EQUATION WITH FIRST ORDER DERIVATIVE

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摘要 This paper is concerned with a nonlinear iterative equation with first order derivative. By construction a convergent power series solution, analytic solutions for the original equation are obtained. This paper is concerned with a nonlinear iterative equation with first order derivative. By construction a convergent power series solution, analytic solutions for the original equation are obtained.

作者 Liu Hanze Qiu Fang

机构地区 Dept. of Math.

出处《Annals of Differential Equations》 2005年第3期337-342,共6页 微分方程年刊（英文版）

关键词 iterative differential equation analytic solution complex number field iterative differential equation, analytic solution, complex number field

分类号 O175 [理学—基础数学]

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参考文献1

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同被引文献19

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引证文献6

1韦雪敏,唐红武.KdV方程的Lie对称分析和精确*解[J].桂林电子科技大学学报,2010,30(4):355-358. 被引量：2
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4张丽香,刘汉泽,辛祥鹏.正则长波方程的对称约化、精确解和守恒律[J].河北师范大学学报（自然科学版）,2017,41(2):97-103. 被引量：1
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1吴雅兰,云银山.含任意函数的KPI方程的Lie对称分析及其相似约化[J].内蒙古农业大学学报（自然科学版）,2023,44(5):44-53.
2檀美英,胡恒春.Hunter-Saxton方程的对称约化与群不变解[J].上海理工大学学报,2016,38(4):313-317.
3张丽香,刘汉泽,辛祥鹏.一类四阶偏微分方程的对称约化、精确解和守恒律[J].华东师范大学学报（自然科学版）,2017(6):50-62. 被引量：5
4李志强,刘汉泽,辛祥鹏.RLW-KdV方程的对称约化、精确解和守恒律[J].应用数学学报,2018,41(4):540-549. 被引量：3
5郑明亮,冯鲜,邓斌,谭飞.激光辐射波前像差矫正模型的对称性和不变解[J].量子电子学报,2019,36(3):324-328.
6张寒.非线性弦振动方程的最优系统、不变解及守恒律[J].滨州学院学报,2022,38(2):63-68.
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Annals of Differential Equations

2005年第3期

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ANALYTIC SOLUTIONS OF AN ITERATIVE EQUATION WITH FIRST ORDER DERIVATIVE 被引量：6

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