arXiv:1806.01927 Abstract | arXiv Analytics

arXiv:1806.01927 [math.AP]Abstract References Reviews Resources

Solitons and peaked solitons for the general Degasperis-Procesi model

Published 2018-06-02Version 1

We consider the general Degasperis-Procesi model of shallow water out-flows. This six parametric family of conservation laws contains, in particular, KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of criterions which guarantee the existence of solitary wave solutions: solitons and peakons ("peaked solitons").

Comments: 15 pages, 4 figures

Categories: math.AP

Subjects: 35Q35, 35Q53, 35D30

Keywords: general degasperis-procesi model, peaked solitons, conservation laws contains, solitary wave solutions, main result consists

Related articles: Most relevant | Search more

arXiv:1712.04410 [math.AP] (Published 2017-12-12)

Soliton dynamics for the general Degasperis-Procesi equation

Georgy Omel'yanov

arXiv:1505.07500 [math.AP] (Published 2015-05-27)

Stability of the solitary wave solutions to a coupled BBM system

Hongqiu Chen, Xiaojun Wang

arXiv:0705.3443 [math.AP] (Published 2007-05-23)