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AreSameSpace

check if a sequence of LHPDE objects live on the same space.

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

AreSameSpace( obj1,obj2, ...)

Parameters

obj1, obj2, ...

-

a sequence of LHPDE objects

Description

• 

The AreSameSpace method returns true if all objects live on the same space, false otherwise.

• 

For LHPDE objects to live on the same space, they must have the same independent variables x1,x2,,xn and the same number of dependent variables.

• 

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

Examples

withLieAlgebrasOfVectorFields:

Typesetting:-Settingsuserep=true:

Typesetting:-Suppressα,β,η,ξx,y

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

E2ξy,y=0,ηx=ξy,ηy=0,ξx=0,indep=x,y,dep=ξ,η

(1)

TxLHPDEdiffαx,y,x=0,diffβx,y,y=0,diffαx,y,y=0,diffβx,y,x=0,indep=x,y,dep=α,β

Txαx=0,βy=0,αy=0,βx=0,indep=x,y,dep=α,β

(2)

AreSameSpaceE2,Tx

true

(3)

Tx1LHPDEdiffαy,x,x=0,diffαy,x,y=0,diffβy,x,x=0,diffβy,x,y=0,indep=y,x,dep=α,β

Tx1xαy,x=0,yαy,x=0,xβy,x=0,yβy,x=0,indep=y,x,dep=αy,x,βy,x

(4)

AreSameSpaceE2,Tx1

false

(5)

AreSameSpaceE2,Tx,Tx1

false

(6)

Compatibility

• 

The AreSameSpace command was introduced in Maple 2020.

• 

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

See Also

LHPDE (Object overview)

LieAlgebrasOfVectorFields[LHPDE]

GetIndependents