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
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
RIV identification code
RIV/47813059:19610/21:A0000103
Organization unit
Mathematical Institute in Opava
Keywords in English
Camassa–Holm equation; Invariance; Novikov equation; Peakon solutions; Sobolev norm
Tags
International impact, Reviewed
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.
Displayed: 27/12/2024 02:26