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- W2619271242 abstract "Considered here is the stability problem of solitary traveling waves with non-zero boundary of an equation describing the free surface waves of moderate amplitude in the shallow water regime. We employ a transform to convert the stability problem of solitary waves with non-zero boundary to the same one of solitary waves vanishing at infinity for a new equation, such that the abstract stability theorem proposed by Grillakis et al. can work on it. We then show that the solitary traveling waves with non-zero boundary are orbitally stable under certain parameter conditions." @default.
- W2619271242 created "2017-06-05" @default.
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- W2619271242 date "2017-05-23" @default.
- W2619271242 modified "2023-10-12" @default.
- W2619271242 title "Stability of solitary traveling waves of moderate amplitude with non-zero boundary" @default.
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- W2619271242 doi "https://doi.org/10.1186/s13661-017-0809-6" @default.
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