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 Li Zou,Zhi Zong,Zhen Wang and Shuo Zhang.Loop Soliton Solutions of a Short Wave Model for a Degasperis-Procesi Equation[J].Journal of Marine Science and Application,2011,(2):220-225.
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Loop Soliton Solutions of a Short Wave Model for a Degasperis-Procesi Equation


Loop Soliton Solutions of a Short Wave Model for a Degasperis-Procesi Equation
Li Zou Zhi Zong Zhen Wang and Shuo Zhang
1. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116085, China 2. The State Key Laboratory of Structure Analysis for Industrial Equipment, Dalian 116085, China 3. School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian 116085, China 4. Department of Applied Mathematics, Dalian University of Technology, Dalian 116085, China
homotopy analysis method one-loop soliton explicit analytic solution nonlinearity Degasperis-Procesi equation
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.


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Last Update: 2011-05-04