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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2020_203_2_a3,
     author = {Nianhua Li and Gaihua Wang and Yonghui Kuang},
     title = {Multisoliton solutions of {the~Degasperis--Procesi} equation and its shortwave limit: {Darboux} transformation approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {205--219},
     publisher = {mathdoc},
     volume = {203},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a3/}
}
TY  - JOUR
AU  - Nianhua Li
AU  - Gaihua Wang
AU  - Yonghui Kuang
TI  - Multisoliton solutions of the~Degasperis--Procesi equation and its shortwave limit: Darboux transformation approach
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2020
SP  - 205
EP  - 219
VL  - 203
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a3/
LA  - ru
ID  - TMF_2020_203_2_a3
ER  - 
%0 Journal Article
%A Nianhua Li
%A Gaihua Wang
%A Yonghui Kuang
%T Multisoliton solutions of the~Degasperis--Procesi equation and its shortwave limit: Darboux transformation approach
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2020
%P 205-219
%V 203
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a3/
%G ru
%F TMF_2020_203_2_a3
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/