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Orbital stability of solitary wave solutions of Kudryashov–Sinelshchikov equation
The European Physical Journal Plus ( IF 3.4 ) Pub Date : 2020-10-10 , DOI: 10.1140/epjp/s13360-020-00821-x
XiaoHua Liu

We study orbital stability of solitary wave solutions of the Kudryashov–Sinelshchikov equation in describing the pressure waves in a mixture liquid. Our approach is based on the theories of orbital stability presented by Grillakis, Shatah and Strauss, and relies on the sign of scalar function. By analyzing and proving conditions for stability or instability of solitary wave solution to the Kudryashov–Sinelshchikov equation in terms of parameters, the conditions in stability of solitary wave solution to the Kudryashov–Sinelshchikov equation are given.



中文翻译:

Kudryashov–Sinelshchikov方程的孤波解的轨道稳定性

在描述混合液体中的压力波时,我们研究了Kudryashov–Sinelshchikov方程的孤波解的轨道稳定性。我们的方法基于Grillakis,Shatah和Strauss提出的轨道稳定性理论,并依赖于标量函数的符号。通过参数分析和证明Kudryashov–Sinelshchikov方程孤波解的稳定性或不稳定性的条件,给出了Kudryashov–Sinelshchikov方程孤波解的稳定性的条件。

更新日期:2020-10-11
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