TY - JOUR
T1 - On an integrable two-component Camassa-Holm shallow water system
AU - Constantin, Adrian
AU - Ivanov, Rossen I.
PY - 2008/12/8
Y1 - 2008/12/8
N2 - The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation with interesting properties and applications. In this Letter we deal with such a two-component integrable system of coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global solutions, for some initial data wave breaking occurs. We also discuss the solitary wave solutions. Finally, we present an explicit construction for the peakon solutions in the short wave limit of system.
AB - The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation with interesting properties and applications. In this Letter we deal with such a two-component integrable system of coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global solutions, for some initial data wave breaking occurs. We also discuss the solitary wave solutions. Finally, we present an explicit construction for the peakon solutions in the short wave limit of system.
UR - https://www.scopus.com/pages/publications/56049084403
U2 - 10.1016/j.physleta.2008.10.050
DO - 10.1016/j.physleta.2008.10.050
M3 - Article
AN - SCOPUS:56049084403
SN - 0375-9601
VL - 372
SP - 7129
EP - 7132
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 48
ER -