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引用次数: 0
摘要
本文考虑的是修正的卡马萨-霍尔姆-诺维科夫方程的峰状孤波解的稳定性问题，该方程源于浅水理论。这种波形构造可容纳修正的卡马萨-霍尔姆-诺维科夫峰孤波解的有序波列。通过应用守恒定律和局部能量函数的单调性，我们根据调制论证证明了该波谱在 H 1 ( R ) {H}^{1}\left({mathbb{R}}) 能量空间中的轨道稳定性。
Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation
Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory. This wave configuration accommodates the ordered trains of the modified Camassa-Holm-Novikov-peaked solitary solution. With the application of conservation laws and the monotonicity property of the localized energy functionals, we prove the orbital stability of this wave profile in the
H
1
(
R
)
{H}^{1}\left({\mathbb{R}})
energy space according to the modulation argument.
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