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Augment

append some DEs to a LHPDE object

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Augment( obj, des, rifReduce = r)

Parameters

obj

-

a LHPDE object

des

-

a list or set of DEs

r

-

(optional) true or false

Description

• 

The Augment method appends some DEs des to the LHPDE object obj.

• 

The method returns a new LHPDE object with new conditions des appended.

• 

The returned LHPDE object can be in rif-reduced form (see DEtools[rifsimp]) by specifying rifReduce = true.

• 

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

Examples

withLieAlgebrasOfVectorFields:

Typesetting:-Settingsuserep=true:

Typesetting:-Suppressη,ξx,y

SLHPDEdiffξx,y,y,y=0,diffηx,y,x=diffξx,y,y,diffηx,y,y=0,diffξx,y,x=0,indep=x,y,dep=ξ,η

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

(1)

AugmentS,diffξx,y,y=0

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

(2)

AugmentS,diffξx,y,y=0,rifReduce=true

ξx=0,ηx=0,ξy=0,ηy=0,indep=x,y,dep=ξ,η

(3)

Compatibility

• 

The Augment 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]

DEtools[rifsimp]