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Some Properties of Solutions to the Camassa–Holm-Type Equation with Higher-Order Nonlinearities

Some Properties of Solutions to the Camassa–Holm-Type Equation with Higher-Order Nonlinearities In this paper, we focus on the large time behavior of compact support of the potential for a Camassa–Holm-type equation with nonlinearities of degree $$k+1$$ k + 1 if the compactly supported initial potential keeps its sign. Moreover, persistence property in weighted Sobolev spaces is also investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Nonlinear Science Springer Journals

Some Properties of Solutions to the Camassa–Holm-Type Equation with Higher-Order Nonlinearities

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References (31)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Mathematics; Analysis; Theoretical, Mathematical and Computational Physics; Classical Mechanics; Mathematical and Computational Engineering; Economic Theory/Quantitative Economics/Mathematical Methods
ISSN
0938-8974
eISSN
1432-1467
DOI
10.1007/s00332-018-9469-7
Publisher site
See Article on Publisher Site

Abstract

In this paper, we focus on the large time behavior of compact support of the potential for a Camassa–Holm-type equation with nonlinearities of degree $$k+1$$ k + 1 if the compactly supported initial potential keeps its sign. Moreover, persistence property in weighted Sobolev spaces is also investigated.

Journal

Journal of Nonlinear ScienceSpringer Journals

Published: May 29, 2018

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