Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis-Procesi Equation
arXiv:1710.05539 · doi:10.1134/S0040577918090076
Abstract
We summarize the results of our recent work on Bäcklund 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.
Contribution to the PMNP 2017 conference
References in corpus (5)
- Bäcklund Transformations for the Boussinesq Equation and Merging Solitons
- Liouville Correspondences between Integrable Hierarchies
- Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation
- Towards the theory of integrable hyperbolic equations of third order
- On reductions of the discrete Kadomtsev--Petviashvili-type equations