A look on some results about Camassa–Holm type equations

Igor Leite Freire

Communications in Mathematics (2021)

  • Issue: 1, page 115-130
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Freire, Igor Leite. "A look on some results about Camassa–Holm type equations." Communications in Mathematics (2021): 115-130. <http://eudml.org/doc/298058>.

@article{Freire2021,
abstract = {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.},
author = {Freire, Igor Leite},
journal = {Communications in Mathematics},
keywords = {Invariance; Sobolev norm; peakon solutions; Camassa--Holm equation; Novikov equation},
language = {eng},
number = {1},
pages = {115-130},
publisher = {University of Ostrava},
title = {A look on some results about Camassa–Holm type equations},
url = {http://eudml.org/doc/298058},
year = {2021},
}

TY - JOUR
AU - Freire, Igor Leite
TI - A look on some results about Camassa–Holm type equations
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
IS - 1
SP - 115
EP - 130
AB - 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.
LA - eng
KW - Invariance; Sobolev norm; peakon solutions; Camassa--Holm equation; Novikov equation
UR - http://eudml.org/doc/298058
ER -

References

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