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AN ab-FAMILY OF EQUATIONS WITH PEAKON TRAVELING WAVES.
- Source :
-
Proceedings of the American Mathematical Society . Sep2016, Vol. 144 Issue 9, p3797-3811. 15p. - Publication Year :
- 2016
-
Abstract
- Peakon traveling wave solutions, both on the line and on the circle, are derived for a novel ab-family of nonlocal evolution equations with cubic nonlinearities. At least two members of this ab-family, namely the Fokas-Olver-Rosenau-Qiao equation and the Novikov equation, are known to be integrable. Furthermore, a generalization of the ab-family with nonlinearities of order k ∈ N, ≥ 2, is considered and its multi-peakon on the line is obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 144
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 116340253
- Full Text :
- https://doi.org/10.1090/proc/13011