| 一类辅助微分方程的亚纯解及其应用 |
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| 引用本文： | 古勇毅,孔荫莹.一类辅助微分方程的亚纯解及其应用[J].山东大学学报(理学版),2019,54(8):81-89. |
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| 作者姓名： | 古勇毅 孔荫莹 |
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| 作者单位： | 广东财经大学统计与数学学院, 广东 广州 510320 |
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| 基金项目： | 广东省自然科学基金基金资助项目(2018A030313954);广东省普通高校基础研究重大项目(2017KZDXM038);广州市社会科学界联合会2018年度“羊城青年学人”资助项目(18QNXR35) |
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| 摘 要： | 介绍了寻求非线性偏微分方程精确解的方法——复方法,用该方法研究了一类辅助微分方程的亚纯解,并将所得结果运用于寻求相关的非线性偏微分方程的精确解,得到Vakhnenko-Parkes方程和Dodd-Bullough-Mikhailov方程的精确解。
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| 关 键 词： | 微分方程 亚纯解 Vakhnenko-Parkes方程 Dodd-Bullough-Mikhailov方程 |
Meromorphic solutions of a class of auxiliary differential equation and its applications |
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| GU Yong-yi,KONG Yin-ying.Meromorphic solutions of a class of auxiliary differential equation and its applications[J].Journal of Shandong University,2019,54(8):81-89. |
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| Authors: | GU Yong-yi KONG Yin-ying |
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| Institution: | School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, Guangdong, China |
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| Abstract: | This paper introduce a method to find exact solutions of nonlinear partial differential equations—complex method, and derive meromorphic solutions for a class of algebraic differential equation by the mentioned method. The results are used to seek exact solutions of nonlinear differential equations. Exact solutions of the Vakhnenko-Parkes equation and Dodd-Bullough-Mikhailov equation are obtained. |
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| Keywords: | differential equation meromorphic solution Vakhnenko-Parkes equation Dodd-Bullough-Mikhailov equation |
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