TY - JOUR
T1 - Classical and Nonclassical Solitary Waves in the General Degasperis—Procesi Model
AU - Omel’yanov, G.
N1 - Publisher Copyright:
© 2019, Pleiades Publishing, Ltd.
PY - 2019/7/1
Y1 - 2019/7/1
N2 - We consider the general Degasperis-Procesi model of shallow water out-flows, which generalizes the list of famous equations: KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi. Our objective is the construction of classical (solitons) and nonclassical (peakons and cuspons) solitary wave solutions of this equation. Along with the standard weak solutions, we present a new type of waves (that we call “twins”) which are a combination of solitons and cuspons.
AB - We consider the general Degasperis-Procesi model of shallow water out-flows, which generalizes the list of famous equations: KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi. Our objective is the construction of classical (solitons) and nonclassical (peakons and cuspons) solitary wave solutions of this equation. Along with the standard weak solutions, we present a new type of waves (that we call “twins”) which are a combination of solitons and cuspons.
UR - http://www.scopus.com/inward/record.url?scp=85071764220&partnerID=8YFLogxK
U2 - 10.1134/S1061920819030129
DO - 10.1134/S1061920819030129
M3 - Artículo
AN - SCOPUS:85071764220
SN - 1061-9208
VL - 26
SP - 384
EP - 390
JO - Russian Journal of Mathematical Physics
JF - Russian Journal of Mathematical Physics
IS - 3
ER -