Geodesic
Unfamiliar aspects of B\"acklund transformations and an~associated Degasperis--Procesi equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 3, pp. 449-464

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We summarize the results of our recent work on Bäcklund transformations (BTs), particularly focusing on the relation between BTs and infinitesimal symmetries. We present a BT for an associated Degasperis–Procesi (aDP) equation and its superposition principle and investigate the solutions generated by applying this BT. Following our general methodology, we use the superposition principle of the BT to generate the infinitesimal symmetries of the aDP equation.
Keywords: Bäcklund transformation, Degasperis–Procesi equation, symmetry.
Mots-clés : superposition principle, soliton 
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     author = {A. G. Rasin and J. Schiff},
     title = {Unfamiliar aspects of {B\"acklund} transformations and an~associated {Degasperis--Procesi} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {449--464},
     publisher = {mathdoc},
     volume = {196},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a6/}
}
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A. G. Rasin; J. Schiff. Unfamiliar aspects of B\"acklund transformations and an~associated Degasperis--Procesi equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 3, pp. 449-464. http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a6/