Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis–Procesi Equation

A. G. Rasin, J. Schiff

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1333-1346
Number of pages14
JournalTheoretical and Mathematical Physics(Russian Federation)
Volume196
Issue number3
DOIs
StatePublished - 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

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