Construction of 2-peakon solutions and nonuniqueness for a generalized mCH equation
type: Item
instance of: scholarly article
title: Construction of 2-peakon solutions and nonuniqueness for a generalized mCH equation
zbMATH Open document ID: 1481.35116
DOI: 10.1155/2021/9363673
author: Yanyan Li
published in: Advances in Mathematical Physics
publication date: 2022-01-06T00:00:00Z
review text: Summary: For the generalized mCH equation, we construct a 2-peakon solution on both the line and the circle, and we can control the size of the initial data. The two peaks at different speeds move in the same direction and eventually collide. This phenomenon is that the solution at the collision time is consistent with another solitary peakon solution. By reversing the time, we get two new solutions with the same initial value and different values at the rest of the time, which means the nonuniqueness for the equation in Sobolev spaces \(H^s\) is proved for \(s<3/2\).
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 7452866
zbMATH Keywords: generalized mCH equation on the line or the circle
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9363673
OpenAlex ID: W3211349593
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description: scientific article; zbMATH DE number 7452866