Characterizations of all real solutions for the KdV equation and WR

Characterizations of all real solutions for the KdV equation and WR
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DOI：
10.1016/j.aml.2020.106446
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发表时间：
2020-05
期刊：
Appl. Math. Lett.
影响因子：
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通讯作者：
Yongyi Gu;Chengfa Wu;Xiao Yao;W. Yuan
Yongyi Gu;Chengfa Wu;Xiao Yao;W. Yuan
中科院分区：
其他
文献类型：
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作者：
Yongyi Gu;Chengfa Wu;Xiao Yao;W. Yuan

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随着对非线性微分方程组研究的深入，越来越多的研究人员考虑由椭圆函数或其退化组成的W类非线性微分方程组的亚纯解。研究非线性线性微分方程实值解是很有意义的。在这篇文章中，我们给出了W类NLDE的所有实解的刻画，作为例子，我们将其应用于KdV方程，以显示我们结果的锐性。
With the development of the study on nonlinear differential equations (NLDEs), more and more researchers consider exact meromorphic solutions of NLDEs in class W, which consists of elliptic function or their degeneration. It is meaningful to study the real-valued solutions of NLDEs. In this paper, we give characterizations of all real solutions for NLDEs in class W. As an example, we apply it to the KdV equation to show the sharpness of our results.