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The existence and decay of solitary waves for the Fornberg–Whitham equation
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2021-05-04 , DOI: 10.1007/s00033-021-01547-1
Yong Zhang , Fei Xu , Fengquan Li

In this paper, we consider the Fornberg–Whitham equation and a family of solitary wave solutions is found by using minimization principle, where a related penalization function and the concentration-compactness lemma play a key role in the proof. Besides, we also prove that the family of solitary solutions is orbitally stable and decays exponentially when wave speed c is bigger than 1.



中文翻译:

Fornberg-Whitham方程的孤波的存在和衰减

在本文中,我们考虑了Fornberg-Whitham方程,并使用最小化原理找到了一个孤立波解的族,其中相关的惩罚函数和浓度-紧实性引理在证明中起关键作用。此外,我们还证明了当波速c大于1时,孤立解族在轨道上是稳定的,并且呈指数衰减。

更新日期:2021-05-05
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