Orbital stability of solitary traveling waves of moderate amplitude (Q277760)
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scientific article; zbMATH DE number 6575739
| Language | Label | Description | Also known as |
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| English | Orbital stability of solitary traveling waves of moderate amplitude |
scientific article; zbMATH DE number 6575739 |
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Orbital stability of solitary traveling waves of moderate amplitude (English)
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2 May 2016
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Summary: We consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime. Firstly, we rewrite this equation in Hamiltonian form and construct two invariants of motion. Then using the abstract stability theorem of solitary waves proposed by \textit{M. Grillakis} et al. [J. Funct. Anal. 74, 160--197 (1987; Zbl 0656.35122)], we prove that the solitary traveling waves of the equation under consideration are orbital stable.
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shallow water regime
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equation in Hamiltonian form
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