Nonlinear fourth-order differential equations with solutions in the form of transcendents

被引：0
|
作者：
N. A. Kudryashov
机构：
[1] Moscow Engineering Physics Institute,
来源：
Theoretical and Mathematical Physics | 2000年 / 122卷
关键词：
General Solution; Integration Constant; Special Solution; Transcendental Function; Nonlinear ODEs;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present two hierarchies of ordinary differential equations and give the relations between these hierarchies. We find rational and special solutions of one hierarchy. Solutions of two differential equations are shown to be essentially transcendental functions with respect to the integration constants.
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页码：58 / 71
页数：13
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