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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{COMIM_2021__29_1_a6,
     author = {Freire, Igor Leite},
     title = {A look on some results about {Camassa{\textendash}Holm} type equations},
     journal = {Communications in Mathematics},
     pages = {115--130},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2021},
     mrnumber = {4251309},
     zbl = {07413360},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a6/}
}
TY  - JOUR
AU  - Freire, Igor Leite
TI  - A look on some results about Camassa–Holm type equations
JO  - Communications in Mathematics
PY  - 2021
SP  - 115
EP  - 130
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a6/
LA  - en
ID  - COMIM_2021__29_1_a6
ER  - 
%0 Journal Article
%A Freire, Igor Leite
%T A look on some results about Camassa–Holm type equations
%J Communications in Mathematics
%D 2021
%P 115-130
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a6/
%G en
%F COMIM_2021__29_1_a6
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/