A look on some results about Camassa–Holm type equations-Reference-Cited by-同舟云学术

A look on some results about Camassa–Holm type equations

Published:2021-04-30 Issue:1 Volume:29 Page:115-130
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Freire Igor Leite¹

Affiliation:

1. Mathematical Institute , Silesian University in Opava , Na Rybníčku, 1, 74601 , Opava , Czech Republic & Centro de Matemática, Computação e Cognição , Universidade Federal do ABC , Avenida dos Estados, 5001, Bairro Bangu,09.210 − 580, Santo André, SP - Brasil

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference44 articles.

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3. [3] S. Anco, P.L. da Silva, I.L. Freire: A family of wave-breaking equations generalizing the Camassa–Holm and Novikov equations. J. Math. Phys. 56 (9) (2015) paper 091506.

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