| BKK方程的分支现象与非线性波解 |
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| 引用本文： | 韩青秀,刘红霞,伍芸.BKK方程的分支现象与非线性波解[J].山东大学学报(理学版),2022,57(8):88-94. |
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| 作者姓名： | 韩青秀 刘红霞 伍芸 |
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| 作者单位： | 贵州师范大学数学科学学院, 贵州 贵阳 550025 |
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| 基金项目： | 国家自然科学基金资助项目(12161019) |
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| 摘 要： | 研究Broer-Kaup-Kupershmidt(BKK)方程的分支现象与非线性波解。首先,通过行波变换,求得BKK方程的首次积分与奇点,接着运用动力系统定性理论和分支方法给出BKK方程在各区域中的相图,并获得方程的一些非线性波解;进一步,扭波的三种分支现象被揭示;最后,利用Maple软件对这些分支现象进行模拟。
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| 关 键 词： | Broer-Kaup-Kupershmidt方程 非线性波解 分支现象 |
Bifurcation phenomena and nonlinear wave solutions of BKK equation |
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| HAN Qing-xiu,LIU Hong-xia,WU Yun.Bifurcation phenomena and nonlinear wave solutions of BKK equation[J].Journal of Shandong University,2022,57(8):88-94. |
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| Authors: | HAN Qing-xiu LIU Hong-xia WU Yun |
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| Institution: | School of Mathematics Science, Guizhou Normal University, Guiyang 550025, Guizhou, China |
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| Abstract: | The bifurcation phenomena and nonlinear wave solutions of Broer-Kaup-Kupershmidt(BKK)equation are studied. Firstly, the first integral and singularities of the BKK equation are obtained by travelling wave transformation. Then the bifurcation phase portraits of the BKK equation in each region are presented by using the bifurcation method and qualitative theory of dynamical systems, and some nonlinear wave solutions of the equation are obtained. Furthermore, three bifurcation phenomena of kink wave are revealed. Finally, Maple software is used to simulate these bifurcation phenomena. |
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| Keywords: | Broer-Kaup-Kupershmidt equation nonlinear wave solution bifurcation phenomenon |
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