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.

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

$X≔\mathrm{VectorField}\left(\left[\left[\mathrm{\xi }\left(x\right)\,x\right]\right]\right)$

$X≔\mathrm{\xi }\left(x\right)\left(\frac{\ⅆ}{\ⅆx}\right)$

$\mathrm{Sys}≔\mathrm{LHPDE}\left(\left[\mathrm{diff}\left(\mathrm{\xi }\left(x\right)\,x\,x\,x\right)=0\right]\,\mathrm{indep}=\left[x\right]\,\mathrm{dep}=\left[\mathrm{\xi }\right]\right)$

$\mathrm{Sys}≔\left[\frac{{\ⅆ}^3}{\ⅆx^3}\mathrm{\xi }\left(x\right)=0\right],\mathrm{indep}=\left[x\right],\mathrm{dep}=\left[\mathrm{\xi }\left(x\right)\right]$

$L≔\mathrm{LAVF}\left(X\,\mathrm{Sys}\right)$

$L≔\left[\mathrm{\xi }\left(x\right)\left(\frac{\ⅆ}{\ⅆx}\right)\right]\&where\left\{\left[\frac{{\ⅆ}^3}{\ⅆx^3}\mathrm{\xi }\left(x\right)=0\right]\right\}$

$Y≔\mathrm{VectorField}\left(\left[\left[\mathrm{\eta }\left(y\right)\,y\right]\right]\right)$

$Y≔\mathrm{\eta }\left(y\right)\left(\frac{\ⅆ}{\ⅆy}\right)$

$\mathrm{DChange}\left(\left\{x=y\right\}\,L\,Y\right)$

$\left[\mathrm{\eta }\left(y\right)\left(\frac{\ⅆ}{\ⅆy}\right)\right]\&where\left\{\left[\frac{{\ⅆ}^3}{\ⅆy^3}\mathrm{\eta }\left(y\right)=0\right]\right\}$

The DChange command was introduced in Maple 2020.

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