Well posedness and solitons stability for a 1D Benney-Luke Model of Higher order
نویسنده
چکیده
We study the local and global well posedness associated a 1D Benney-Luke model of higher order that models long water with small amplitude. We show that local mild solutions are already global mild solutions, in the case we have an appropriate Hamiltonian structure. We establish orbital stability of solitons using strongly the variational characterization of the ground state solutions and the invariance of some special regions under the flow associated with the generalized Benney-Luke model considered. AMS subject classification: 35Q35, 35B35, 76B25.
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Existence and Non Existence of Solitons for a 1d Benney-luke Model of Higher Order
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