Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations

作者:Euler Marianna*; Euler Norbert; Reyes Enrique G
来源:Journal of Nonlinear Mathematical Physics, 2017, 24(3): 303-314.
DOI:10.1080/14029251.2017.1341694

摘要

In this letter we report a new invariant for the Sawada-Kotera equation that is obtained by a systematic potentialization of the Kupershmidt equation. We show that this result can be derived from nonlocal symmetries and that, conversely, a previously known invariant of the Kaup-Kupershmidt equation can be recovered using potentializations.

  • 出版日期2017