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GetRanking

get ranking of the rif-reduced symmetry determining system

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

GetRanking( obj)

Parameters

obj

-

a LAVF object that its symmetry determinings system is in rif-reduced form.

Description

• 

For a LAVF object, the GetRanking method returns the ranking of the rif-reduced symmetry determining system as a list (or a list of lists) of dependent variable names, if available.

• 

This method is front-end to the GetRanking method of a LHPDE object. That is, let S be the determining systems of LAVF objects L then GetRanking(L) equals GetRanking(S).

• 

The returned output - ranking of a LAVF object - is consistent with the ranking that is used on the DEtools[rifsimp] command. See ranking for more detail.

• 

This method is associated with the LAVF object. For more detail, see Overview of the LAVF object.

Examples

withLieAlgebrasOfVectorFields:

Construct an LAVF object...

VVectorFieldξx,yDx+ηx,yDy,space=x,y

Vξx,yx+ηx,yy

(1)

E2LHPDEdiffξx,y,y,y=0,diffηx,y,x=diffξx,y,y,diffηx,y,y=0,diffξx,y,x=0,indep=x,y,dep=ξ,η

E22y2ξx,y=0,xηx,y=yξx,y,yηx,y=0,xξx,y=0,indep=x,y,dep=ξx,y,ηx,y

(2)

LLAVFV,E2

Lξx,yx+ηx,yy&where2y2ξx,y=0,xξx,y=0,xηx,y=yξx,y,yηx,y=0

(3)

GetRankingL

ξ,η

(4)

Compatibility

• 

The GetRanking command was introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

LAVF (Object overview)

LHPDE (Object overview)

LieAlgebrasOfVectorFields[VectorField]

LieAlgebrasOfVectorFields[LHPDE]

LieAlgebrasOfVectorFields[LAVF]

GetRanking

DEtools[rifsimp]