TY - JOUR
T1 - General Degasperis-Procesi equation and its solitary wave solutions
AU - Rodriguez, J. Noyola
AU - Omel'yanov, G.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - © 2018 Elsevier Ltd 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”).
AB - © 2018 Elsevier Ltd 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”).
U2 - 10.1016/j.chaos.2018.10.031
DO - 10.1016/j.chaos.2018.10.031
M3 - Article
SP - 41
EP - 46
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
ER -