A. G. Rasin, J. Schiff, “Unfamiliar aspects of Bäcklund transformations and an associated Degasperis–Procesi equation”, TMF, 2018, Volume 196, Number 3,Pages <nobr>449

This article is cited in 6 papers

Unfamiliar aspects of Bäcklund transformations and an associated Degasperis–Procesi equation

A. G. Rasin^a, J. Schiff^b

^a Department of Mathematics, Ariel University, Ariel, Israel
^b Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel

Abstract: 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, superposition principle, soliton, symmetry.

MSC: 37K10 37J35 35C08 35C07

Received: 03.10.2017
Revised: 11.03.2018

DOI: 10.4213/tmf9477