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- W4360994030 abstract "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." @default.
- W4360994030 created "2023-03-30" @default.
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- W4360994030 date "2023-03-24" @default.
- W4360994030 modified "2023-10-17" @default.
- W4360994030 title "Orbital stability of two-component peakons" @default.
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- W4360994030 doi "https://doi.org/10.1007/s11425-022-2082-x" @default.
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