广义 KdV-mKdV 类似方程中一些有趣的分岔现象

Yiren Chen, Yan Liang, Xuefeng Gao, Si Chen, Yu Han
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摘要

我们研究了广义 KdV-mKdV 类方程中的新分岔现象。与以往的相图研究不同,我们选择了与波速相关的变量作为坐标轴,从而发现了一些有趣的分岔现象。我们的方法还可以扩展到研究其他一些方程中的分岔现象。
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Some Interesting Bifurcation Phenomena in the Generalized KdV–mKdV-Like Equation
We investigate novel bifurcation phenomena in the generalized KdV–mKdV-like equation. Unlike previous phase diagram studies, we choose variables related to wave speed as the coordinate axis, which led us to discover some interesting bifurcation phenomena. Our method can also be extended to study some other bifurcation phenomena in equations.
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