Orbital Stability of Solitary Traveling Waves of Moderate Amplitude
Keyword(s):
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 Grillakis et al. (1987), we prove that the solitary traveling waves of the equation under consideration are orbital stable.
2008 ◽
Vol 18
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pp. 219-225
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2017 ◽
Vol 37
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pp. 998-1018
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2014 ◽
Vol 07
(05)
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pp. 1450050
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2019 ◽
Vol 9
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pp. 2389-2408
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2015 ◽
Vol 25
(09)
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pp. 1550117
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2009 ◽
Vol 19
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pp. 2249-2266
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2016 ◽
Vol 26
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pp. 1919-1954
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