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• W2029125684 abstract "We study the orbital stability of solitary traveling wave solutions of an equation for surface water waves of moderate amplitude in the shallow water regime. Our approach is based on a method proposed by Grillakis, Shatah and Strauss (1987) [1], and relies on a reformulation of the evolution equation in Hamiltonian form. We deduce stability of solitary waves by proving the convexity of a scalar function, which is based on two nonlinear functionals that are preserved under the flow." @default.
• W2029125684 created "2016-06-24" @default.
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• W2029125684 date "2013-07-01" @default.
• W2029125684 modified "2023-09-27" @default.
• W2029125684 title "Orbital stability of solitary waves of moderate amplitude in shallow water" @default.
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• W2029125684 doi "https://doi.org/10.1016/j.jde.2013.04.010" @default.
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