Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation
Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation
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DOI：
10.1515/anona-2023-0124
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发表时间：
2024-01
影响因子：
4.2
通讯作者：
Ting Luo
中科院分区：
文献类型：
--
作者：
Ting Luo
摘要本文研究了由浅水波理论导出的修正Camassa-Holm-Novikov方程峰值孤波解的稳定性问题。这种波的配置容纳了修改后的Camassa-Holm-Novikov峰孤波解的有序列。利用守恒律和局域能量泛函的单调性，根据调制变元证明了该波型在H1（R）{H}^{1}左（{\mathbb{R}}）能量空间中的轨道稳定性.
Abstract 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.