J 2021

A look on some results about Camassa–Holm type equations

LEITE FREIRE, Igor

Basic information

Original name

A look on some results about Camassa–Holm type equations

Authors

LEITE FREIRE, Igor (76 Brazil, guarantor, belonging to the institution)

Edition

Communications in Mathematics, Warsaw, Poland, Walter de Gruyter, 2021, 1804-1388

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10511 Environmental sciences

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19610/21:A0000103

Organization unit

Mathematical Institute in Opava

DOI

Keywords in English

Camassa–Holm equation; Invariance; Novikov equation; Peakon solutions; Sobolev norm

Tags

Tags

International impact, Reviewed
Změněno: 29/3/2022 12:33, Mgr. Aleš Ryšavý

Abstract

V originále

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.