Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609382 | Journal of Differential Equations | 2016 | 25 Pages |
Abstract
Considered herein is the integrable two-component Camassa–Holm shallow water system derived in the context of shallow water theory, which admits blow-up solutions and the solitary waves interacting like solitons. Using modulation theory, and combining the almost monotonicity of a local version of energy with the argument on the stability of a single solitary wave, we prove that the train of N solitary waves, which are sufficiently decoupled, is orbitally stable in the energy space H1(R)×L2(R)H1(R)×L2(R).
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xingxing Liu,