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.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 196, No. 3, pp. 449–464, September, 2018.
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Rasin, A.G., Schiff, J. Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis–Procesi Equation. Theor Math Phys 196, 1333–1346 (2018). https://doi.org/10.1134/S0040577918090076
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DOI: https://doi.org/10.1134/S0040577918090076