Title of article :
On sufficient conditions of locality for hierarchies of symmetries of evolution systems
Author/Authors :
Sergyeyev، نويسنده , , Artur، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
We present sufficient conditions ensuring the locality of hierarchies of symmetries generated by repeated commutation of master symmetry with a seed symmetry. These conditions are applicable to a large class of (1+1)-dimensional evolution systems. Our results can also be used for proving that the time-independent part of a suitable linear-in-time symmetry is a nontrivial master symmetry and hence the system in question has infinitely many symmetries and is integrable.
Keywords :
Integrability , Evolution equations , Symmetries , master symmetries , formal symmetries , time-dependent symmetries
Journal title :
Reports on Mathematical Physics
Journal title :
Reports on Mathematical Physics