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DChange

change coordinates in a LAVF object

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

DChange( tr, obj, vf, options )

dchange( tr, obj, vf, 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

obj

-

a LAVF object

vf

-

a VectorField object

options

-

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

Description

• 

The DChange method performs change of variables tr in the LAVF object obj.

• 

The method returns a new LAVF object written with respect to independent variables and the dependent variables specified in vf

• 

The vf 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.

• 

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

Examples

withLieAlgebrasOfVectorFields:

Build a LAVF for the sl[2] action on the line...

XVectorFieldξx,x

Xξxx

(1)

SysLHPDEdiffξx,x,x,x=0,indep=x,dep=ξ

Sysⅆ3ⅆx3ξx=0,indep=x,dep=ξx

(2)

LLAVFX,Sys

Lξxx&whereⅆ3ⅆx3ξx=0

(3)

Now set up another vector field with a change of variables...

YVectorFieldηy,y

Yηyy

(4)

DChangex=y,L,Y

ηyy&whereⅆ3ⅆy3ηy=0

(5)

Compatibility

• 

The DChange command was introduced in Maple 2020.

• 

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

See Also

LAVF (Object overview)

LieAlgebrasOfVectorFields[LAVF]

VectorField (Object overview)

LieAlgebrasOfVectorFields[VectorField]

LieAlgebrasOfVectorFields (Package overview)

PDEtools[dchange]