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CleanDependencies

remove any redundant dependant variables from a LAVF object.

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

CleanDependencies( obj)

Parameters

obj

-

a LAVF object

Description

• 

The CleanDependencies method returns a new LAVF object with any redundant dependant variables or constant of integration removed from its Lie determining system and the corresponding vector field.

• 

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

Examples

withLieAlgebrasOfVectorFields:

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,c1=0,c2=0,indep=x,y,dep=ξ,η,c1,c2

E22y2ξx,y=0,xηx,y=yξx,y,yηx,y=0,xξx,y=0,c1=0,c2=0,indep=x,y,dep=ξx,y,ηx,y,c1,c2

(2)

LLAVFV,E2

Lξx,yx+ηx,yy&where2y2ξx,y=0,xξx,y=0,xηx,y=yξx,y,yηx,y=0,c1=0,c2=0

(3)

CleanDependenciesL

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

(4)

Compatibility

• 

The CleanDependencies command was introduced in Maple 2020.

• 

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

See Also

LieAlgebrasOfVectorFields (Package overview)

LAVF (Object overview)

LieAlgebrasOfVectorFields[VectorField]

LieAlgebrasOfVectorFields[LAVF]