Nonlinear differential equations of the second, third and fourth order with exact solutions

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• 作者：Nikolai A. Kudryashov ; ^{nakudr@gmail.com} ; Dmitry I. Sinelshchikov
• 关键词：Nonlinear differential equation ; Exact solution ; Autonomous equation ; Polynomial form ; Solitary wave
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 July, 2012
• 卷：218
• 期：21
• 页码：10454-10467
• 文件大小：487 K

摘要

We present the class of nonlinear ordinary differential equations of the second, third and fourth order in a polynomial form with exact solutions. This class has exact solutions in the form of solitary waves, kinks and one periodic solutions.