TY - JOUR
T1 - Loop soliton solutions of a short wave model for a degasperis-procesi equation
AU - Zou, Li
AU - Zong, Zhi
AU - Wang, Zhen
AU - Zhang, Shuo
PY - 2011/6
Y1 - 2011/6
N2 - An analytic method, i.e. the homotopy analysis method, was applied for constructing the solutions of the short waves model equations associated with the Degasperis-Procesi (DP) shallow water waves equation. The explicit analytic solutions of loop soliton governing the propagation of short waves were obtained. By means of the transformation of independent variables, an analysis one-loop soliton solution expressed by a series of exponential functions was obtained, which agreed well with the exact solution. The results reveal the validity and great potential of the homotopy analysis method in solving complicated solitary water wave problems.
AB - An analytic method, i.e. the homotopy analysis method, was applied for constructing the solutions of the short waves model equations associated with the Degasperis-Procesi (DP) shallow water waves equation. The explicit analytic solutions of loop soliton governing the propagation of short waves were obtained. By means of the transformation of independent variables, an analysis one-loop soliton solution expressed by a series of exponential functions was obtained, which agreed well with the exact solution. The results reveal the validity and great potential of the homotopy analysis method in solving complicated solitary water wave problems.
KW - Degasperis-Procesi equation
KW - explicit analytic solution
KW - homotopy analysis method
KW - nonlinearity
KW - one-loop soliton
UR - https://www.scopus.com/pages/publications/79958044369
U2 - 10.1007/s11804-011-1062-5
DO - 10.1007/s11804-011-1062-5
M3 - 文章
AN - SCOPUS:79958044369
SN - 1671-9433
VL - 10
SP - 220
EP - 225
JO - Journal of Marine Science and Application
JF - Journal of Marine Science and Application
IS - 2
ER -