Dchange - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Differential Equations : Lie Symmetry Method : Commands for PDEs (and ODEs) : LieAlgebrasOfVectorFields : Distribution : LieAlgebrasOfVectorFields/Distribution/Dchange

Dchange

change coordinates in a Distribution object

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

DChange( tr, dist, newvars, options )

dchange( tr, dist, newvars, options )

Parameters

tr

-

set of equations corresponding to the transformation from the old variables on the left-hand side of the equations to the new variables on the right-hand side

dist

-

a Distribution object

newvars

-

list containing the new variables

options

-

optional arguments that will be passed down to PDEtools[dchange] command

Description

• 

The DChange method changes coordinates in a Distribution object, and returns a new Distribution object on space with coordinates as specified by the newvars parameter.

• 

The DChange method is closely modeled on the PDEtools:-dchange command, the calling sequence is identical.

• 

The newvars argument is required.  Other options are as for PDEtools:-dchange , and are ultimately passed through to it.

• 

The name dchange is provided as an alias.

• 

If the PDEtools package is loaded, a name conflict may arise.  In this case the calling sequence should be modified to  dist:-DChange(tr, dist, newvars, options).

• 

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

Examples

withLieAlgebrasOfVectorFields:

Build vector fields associated with 3-d spatial rotations...

RxVectorFieldzDy+yDz,space=x,y,z

Rxzy+yz

(1)

RyVectorFieldxDz+zDx,space=x,y,z

Ryzxxz

(2)

RzVectorFieldyDx+xDy,space=x,y,z

Rzyx+xy

(3)

Construct the associated distribution...

ΣDistributionRx,Ry,Rz

Σyxx+y,zxx+z

(4)

Set up change of coordinates to spherical polars...

DChangex=rsinθcosφ,y=rsinθsinφ,z=rcosθ,Σ,r,θ,φ

θ,φ

(5)

Compatibility

• 

The Dchange command was introduced in Maple 2020.

• 

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

See Also

Distribution (Object overview)

LieAlgebrasOfVectorFields[Distribution]

VectorField (Object overview)

LieAlgebrasOfVectorFields[VectorField]

LieAlgebrasOfVectorFields (Package overview)

PDEtools[dchange]