|
This article is cited in 6 scientific papers (total in 6 papers)
Unfamiliar aspects of Bäcklund transformations and an associated Degasperis–Procesi equation
A. G. Rasina, J. Schiffb 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.
Received: 03.10.2017 Revised: 11.03.2018
Citation:
A. G. Rasin, J. Schiff, “Unfamiliar aspects of Bäcklund transformations and an associated Degasperis–Procesi equation”, TMF, 196:3 (2018), 449–464; Theoret. and Math. Phys., 196:3 (2018), 1333–1346
Linking options:
https://www.mathnet.ru/eng/tmf9477https://doi.org/10.4213/tmf9477 https://www.mathnet.ru/eng/tmf/v196/i3/p449
|
Statistics & downloads: |
Abstract page: | 297 | Full-text PDF : | 64 | References: | 29 | First page: | 13 |
|