Abstract
In this paper we prove the existence of hylomorphic solitons in the generalized KdV equation. Following (Benci, Milan J Math 77:271–332, 2009), a soliton is called hylomorphic if it is a solitary wave whose stability is due to a particular relation between energy and another integral of motion which we call hylenic charge.
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Dedicated to our friend Djairo De Figuereido on the occasion of his 80th birthday
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Benci, V., Fortunato, D. (2015). Hylomorphic solitons for the generalized KdV equation. In: Nolasco de Carvalho, A., Ruf, B., Moreira dos Santos, E., Gossez, JP., Monari Soares, S., Cazenave, T. (eds) Contributions to Nonlinear Elliptic Equations and Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 86. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-19902-3_2
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DOI: https://doi.org/10.1007/978-3-319-19902-3_2
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-19901-6
Online ISBN: 978-3-319-19902-3
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