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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 3, Pages 449–464
DOI: https://doi.org/10.4213/tmf9477 (Mi tmf9477) 		 
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
Full-text PDF (750 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9477
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
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 3, Pages 1333–1346
DOI: https://doi.org/10.1134/S0040577918090076
Bibliographic databases:
Document Type: Article
MSC: 37K10 37J35 35C08 35C07
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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