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- W4226356658 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 multicomponent 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.
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- W4226356658 date "2021-11-30" @default.
- W4226356658 modified "2023-09-24" @default.
- W4226356658 title "Orbital stability of two-component peakons" @default.
- W4226356658 hasPublicationYear "2021" @default.
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