Orbital stability of two-component peakons
Orbital stability of two-component peakons
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DOI：
10.1007/s11425-022-2082-x
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Changzheng Qu
中科院分区：
文献类型：
--
作者：
Cheng He;Xiaochuan Liu;Changzheng Qu
We prove that the two-component peakon solutions are orbitally stable in the energy space. The.system concerned here is a two-component Novikov system, which is an integrable multi-component extension.of the integrable Novikov equation. We improve the method for the scalar peakons to the two-component case.with genuine nonlinear interactions by establishing optimal inequalities for the conserved quantities involving the.coupled structures. Moreover, we also establish the orbital stability for the train-profiles of these two-component.peakons by using the refined analysis based on monotonicity of the local energy and an induction method.
