A look on some results about Camassa–Holm type equations

Igor Leite Freire

doi:10.2478/cm-2021-0006

Igor Leite Freire - A look on some results about Camassa–Holm type equations

cm:9525 - Communications in Mathematics, April 30, 2021, Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar) - https://doi.org/10.2478/cm-2021-0006

A look on some results about Camassa–Holm type equationsArticle

Authors: Igor Leite Freire

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.

https://doi.org/10.2478/cm-2021-0006

Source: HAL:hal-03665012v1

Volume: Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar)

Published on: April 30, 2021

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)