The limiting behavior of smooth periodic waves for the Degasperis-Procesi equation |
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| Authors: | Jiuli Yin Lixin Tian Xinghua Fan |
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| Affiliation: | Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China |
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| Abstract: | We study the limiting behavior of smooth periodic waves for the Degasperis-Procesi equation as the parameters trend to some special values. Using an improved qualitative method, the existence of smooth periodic waves is considered. For some limiting values of parameters of smooth periodic waves, one obtains peaked solitary waves. |
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| Keywords: | Limiting behavior Degasperis-Procesi equation Smooth waves Peaked waves |
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