22 citations · 34 across the 8 of their papers we have counts for
4 papers · 1 filter
Nonlocal symmetries of evolution equations
Renat Zhdanov
We suggest the method for group classification of evolution equations admitting nonlocal symmetries which are associated with a given evolution equation possessing nontrivial Lie s…
Nonlocal symmetries of systems of evolution equations
Renat Zhdanov
We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. Based on this fact is our method o…
On group classification of evolution equations admitting non-local symmetries
Renat Zhdanov
We prove that any evolution equation admitting a potential symmetry can always be reduced to another evolution equation such that the potential symmetry in question maps into the g…
Towards classification of quasi-local symmetries of evolution equations
Renat Zhdanov
We develop efficient group-theoretical approach to the problem of classification of evolution equations that admit non-local transformation groups (quasi-local symmetries), i.e., g…