Geodesic
Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 205-219 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : Darboux transformation, multisoliton solution. 
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Nianhua Li; Gaihua Wang; Yonghui Kuang. Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 205-219. http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a3/

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