Unfamiliar Aspects of B\"acklund Transformations and an Associated Degasperis-Procesi Equation
Exactly Solvable and Integrable Systems
2018-11-14 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1710.05539,
title = {Unfamiliar Aspects of B\"acklund Transformations and an Associated Degasperis-Procesi Equation},
author = {Alexander Rasin and Jeremy Schiff},
journal= {arXiv preprint arXiv:1710.05539},
year = {2018}
}
Comments
Contribution to the PMNP 2017 conference