Abstract:
We consider the Bäcklund transformation for the Degasperis–Procesi (DP) equation. Using the reciprocal transformation and the associated DP equation, we construct the Bäcklund transformation for the DP equation involving both dependent and independent variables. We also obtain the corresponding nonlinear superposition, which we use together with the Bäcklund transformation to derive some soliton solutions of the DP equation.
Natural Science Foundation of Guangxi Zhuang autonomous region
2018GXNSFBA050020
Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Guangxi Zhuang autonomous region
2019KY0417
This research is supported by the National Natural
Science Foundation of China (Grant Nos. 11905110, 11871471, and 11931017),
the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2018GXNSFBA050020), and the Promotion Program for Young and
Middle-Aged Teacher in Science and Technology Research of Guangxi Zhuang
Autonomous Region, China (Grant No. 2019KY0417).
This publication is cited in the following 15 articles:
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