Unfamiliar Aspects of B\'acklund Transformations and an Associated Degasperis-Procesi Equation

Autor:	Rasin, Alexander, Schiff, Jeremy
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 37K10 37J35 35C08 35C07
Druh dokumentu:	Working Paper
DOI:	10.1134/S0040577918090076
Popis:	We summarize the results of our recent work on B\"acklund transformations (BTs), particularly focusing on the relationship of 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 application of this BT. Following our general methodology, we use the superposition principle of the BT to generate the infinitesimal symmetries of the aDP equation. Comment: Contribution to the PMNP 2017 conference
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.05539 Zobrazit plný text záznamu View this record from Arxiv