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To construct infinite sequence peak solitary wave solutions to nonlinear evolution equations, Bäcklund transformation of Riccati equation and nonlinear superposition formula of the solutions are introduced, then Degasperis-Procesi equation is taken as an example and infinite sequence peak solitary wave solutions and periodic solutions of the equation are obtained with the help of symbolic computation system Mathematica.
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Keywords:
- Riccati equation/
- nonlinear superposition formula of the solutions/
- peak solitary wave solution/
- Degasperis-Procesi equation
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