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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method

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Figure

Fig. 2: The curves of the wave amplitude 푎approximation. Solid curve: versus ¯ℎ for the 15th-order 휖 = −0.5; dotted curve: 휖 = −1.5; dashed curve:휖 = −1.
Fig. 3: The analytic approximation for 푤exact solution(휂) when ¯ℎ = −3 with 휖 = −0.5 and the 푤(휂) = −푒∣휂∣
Fig. 4: The ¯ℎ-curve for the wave amplitude 푎 at the 15th-order approximationwith 푏 = 14.
Fig. 5: The analytic approximation for 푤 when ¯ℎ = −2 with 푏 = 14 and the exactsolution given by Eqs

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