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
Pages :
8
From page :
307
To page :
314
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
Serial Year :
2002
Journal title :
Reports on Mathematical Physics
Record number :
1585490
Link To Document :
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