The functionalities of some Maple builtin commands are extended for use on LHPDE object.

The following builtins have been overloaded for this purpose: normal, expand, simplify, indets, has, type, hastype, convert

The normal, expand, simplify builtin commands accept a LHPDE object and apply their methods onto its DEs system. Then they return a LHPDE object with new DEs system.

Let S be a LHPDE object.

(i) The call type(S, t) returns true if t is any of the following types: module, object, anything, and LHPDE. See examples below.

(ii) The call type(S, dependent(x)) and type(S, freeof(x)) respectively return true if the DEs system, the independent variables, and the dependent variables of S contain (respectively don't contain) x. See example below.

The indets, has, hastype builtin commands accept a LHPDE object and apply their methods onto the DEs system, the independent variables, and the dependent variables of the object.

The convert builtin command can convert a LHPDE object S into a LHPDO object.

These overloaded builtins are associated with the LHPDE object. For more detail, see Overview of the LHPDE object.

$\mathrm{with}\left(\mathrm{LieAlgebrasOfVectorFields}\right)\:$

$\mathrm{Typesetting}:-\mathrm{Settings}\left(\mathrm{userep}=\mathrm{true}\right)\:$

$\mathrm{Typesetting}:-\mathrm{Suppress}\left(u\left(x\,y\right)\right)\:$

The LHPDE Object Overloaded Builtins command was introduced in Maple 2020.

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