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.
Original language | English |
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Pages (from-to) | 1333-1346 |
Number of pages | 14 |
Journal | Theoretical and Mathematical Physics(Russian Federation) |
Volume | 196 |
Issue number | 3 |
DOIs | |
State | Published - 1 Sep 2018 |
Keywords
- Bäcklund transformation
- Degasperis–Procesi equation
- soliton
- superposition principle
- symmetry
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics