get ranking of a rif-reduced LHPDEs system
a LHPDE object that is in rif-reduced form.
For a LHPDE object that is in rif-reduced form, the GetRanking method returns the ranking of the LHPDE object as a list (or a list of lists) of dependent variable names, if available.
The method returns FAIL if the ranking is unavailable or a LHPDE object is not recorded as being in rif-reduced form.
The returned output - ranking of a LHPDE object - is consistent with the ranking that is used on the DEtools[rifsimp] command. See ranking for more detail.
Rif reduction refers to the differential reduction and completion algorithm performed by the Maple command DEtools[rifsimp].
To rif-reduce a LHPDE object with specific ranking, see RifReduce for more detail.
The ranking can be set while constructing a LHPDE object. See LieAlgebrasOfVectorFields[LHPDE] for more detail.
This method is associated with the LHPDE object. For more detail, see Overview of the LHPDE object.
S := LHPDE([diff(xi(x,y),x)=0, diff(eta(x,y),y)=0, diff(xi(x,y),y)+diff(eta(x,y),x)=0, diff(xi(x,y),y,y)=0, diff(eta(x,y),x,x)=0]);
Using the RifReduce method to reduce a LHPDE object with given ranking:
Sred := RifReduce(S, [xi,eta]);
Specify ranking while constructing a LHPDE object:
S1 := LHPDE([diff(eta(y),y)=0,diff(xi(x),x)=0], dep=[xi,eta], indep=[x,y], inRifReducedForm=true, ranking=[eta,xi]);
The GetRanking command was introduced in Maple 2020.
For more information on Maple 2020 changes, see Updates in Maple 2020.
LHPDE (Object overview)
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