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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 2, Pages 205–219
DOI: https://doi.org/10.4213/tmf9734 (Mi tmf9734) 		 
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
Full-text PDF (505 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf9734
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.
Funding agency Grant number
National Natural Science Foundation of China 11505064
11805071
11871471
Natural Science Foundation of Fujian Province 2016J05008
This research is supported in part by the National Natural Science Foundation of China (Grant Nos. 11505064, 11805071, and 11871471) and the Natural Science Foundation of Fujian Province, China (Grant No. 2016J05008).
Received: 20.04.2019
Revised: 29.10.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 2, Pages 608–620
DOI: https://doi.org/10.1134/S0040577920050049
Bibliographic databases:
Document Type: Article
MSC: 37K05, 37K10, 35C08
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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