Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 56, Issue 9, Pages -Publisher
AIP Publishing
DOI: 10.1063/1.4929661
Keywords
-
Categories
Funding
- NSERC
- FAPESP [2012/22725-4, 2014/05024-8]
- CAPES
- CNPq [308941/2013-6]
Ask authors/readers for more resources
A 4-parameter polynomial family of equations generalizing the Camassa-Holm and Novikov equations that describe breaking waves is introduced. A classification of low-order conservation laws, peaked travelling wave solutions, and Lie symmetries is presented for this family. These classifications pick out a 1-parameter equation that has several interesting features: it reduces to the Camassa-Holm and Novikov equations when the polynomial has degree two and three; it has a conserved H-1 norm and it possesses N-peakon solutions when the polynomial has any degree; and it exhibits wave-breaking for certain solutions describing collisions between peakons and anti-peakons in the case N = 2. (C) 2015 AIP Publishing LLC.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available