GetParametricDerivatives
get the parametric derivatives of a LHPDEs system that is associated with an IDBasis object
Calling Sequence
Parameters
Description
Examples
Compatibility
GetParametricDerivatives( B)
B
-
IDBasis object
The GetParametricDerivatives method gets the parametric derivatives of a LHPDEs system that have been recorded in an IDBasis object as a fixed basis variables.
Let B be an IDBasis object that is associated with LHPDE object S. Then GetParametricDerivatives(B) returns a list of parametric derivatives of S.
This method is associated with the IDBasis object. For more detail, see Overview of the IDBasis object.
withLieAlgebrasOfVectorFields:
Typesetting:-Settingsuserep=true:
Typesetting:-Suppressξx,y,ηx,y
E2≔LHPDEdiffξx,y,y,y=0,diffηx,y,x=−diffξx,y,y,diffηx,y,y=0,diffξx,y,x=0,indep=x,y,dep=ξ,η
E2≔ξy,y=0,ηx=−ξy,ηy=0,ξx=0,indep=x,y,dep=ξ,η
ParametricDerivativesE2
ξ,ξy,η
B≔IDBasisE2,ξx,y−ydiffξx,y,y,ηx,y−xdiffξx,y,y,−diffξx,y,y
B≔ξ−yξy,η−xξy,−ξy
GetParametricDerivativesB
The GetParametricDerivatives command was introduced in Maple 2020.
For more information on Maple 2020 changes, see Updates in Maple 2020.
See Also
IDBasis (Object overview)
LieAlgebrasOfVectorFields[IDBasis]
LieAlgebrasOfVectorFields[LHPDE]
ParametricDerivatives
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