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This article is cited in 12 scientific papers (total in 12 papers)
Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach
Nianhua Liab, Gaihua Wangc, Yonghui Kuangd a School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian, China
b Department of Mathematics, National Research University "Higher School of Economics", Moscow, Russia
c Department of Mathematics, School of Science, China University of Mining and Technology, Beijing, China
d School of Science, Zhongyuan University of Technology, Zhengzhou, China
Abstract:
We propose a new approach for calculating multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit by combining a reciprocal transformation with the Darboux transformation of the negative flow of the Kaup–Kupershmidt hierarchy. In particular, different specifications of the soliton parameters lead to two different types of soliton solutions of the Degasperis–Procesi equation.
Keywords:
Degasperis–Procesi equation, Darboux transformation, multisoliton solution.
Received: 20.04.2019 Revised: 29.10.2019
Citation:
Nianhua Li, Gaihua Wang, Yonghui Kuang, “Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach”, TMF, 203:2 (2020), 205–219; Theoret. and Math. Phys., 203:2 (2020), 608–620
Linking options:
https://www.mathnet.ru/eng/tmf9734https://doi.org/10.4213/tmf9734 https://www.mathnet.ru/eng/tmf/v203/i2/p205
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Abstract page: | 266 | Full-text PDF : | 56 | References: | 25 | First page: | 8 |
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