Geodesic
A look on some results about Camassa–Holm type equations
Communications in Mathematics, Tome 29 (2021) no. 1, pp. 115-130.

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We present an overview of some contributions of the author regarding Camassa--Holm type equations. We show that an equation unifying both Camassa--Holm and Novikov equations can be derived using the invariance under certain suitable scaling, conservation of the Sobolev norm and existence of peakon solutions. Qualitative analysis of the two-peakon dynamics is given.
Classification : 35Q51, 37K40
Keywords: Invariance; Sobolev norm; peakon solutions; Camassa--Holm equation; Novikov equation 
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     title = {A look on some results about {Camassa{\textendash}Holm} type equations},
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Freire, Igor Leite. A look on some results about Camassa–Holm type equations. Communications in Mathematics, Tome 29 (2021) no. 1, pp. 115-130. http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a6/