GetSystem - Maple Programming Help

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GetSystem

get the LHPDEs system of a LHPDE object

 Calling Sequence GetSystem ( obj)

Parameters

 obj - a LHPDE object.

Description

 • The GetSystem method returns the LHPDEs system  for a LHPDE object as a list of DEs.
 • This method is associated with the LHPDE object. For more detail, see Overview of the LHPDE object.

Examples

 > $\mathrm{with}\left(\mathrm{LieAlgebrasOfVectorFields}\right):$
 > $S≔\mathrm{LHPDE}\left(\left[\mathrm{diff}\left(u\left(x,y\right),x,x\right)-\mathrm{diff}\left(v\left(x,y\right),y,y\right)=0\right]\right)$
 ${S}{≔}\left[\frac{{{\partial }}^{{2}}}{{\partial }{{x}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{u}{}\left({x}{,}{y}\right){-}\frac{{{\partial }}^{{2}}}{{\partial }{{y}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{v}{}\left({x}{,}{y}\right){=}{0}\right]{,}{\mathrm{indep}}{=}\left[{x}{,}{y}\right]{,}{\mathrm{dep}}{=}\left[{u}{}\left({x}{,}{y}\right){,}{v}{}\left({x}{,}{y}\right)\right]$ (1)
 > $\mathrm{GetSystem}\left(S\right)$
 $\left[\frac{{{\partial }}^{{2}}}{{\partial }{{x}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{u}{}\left({x}{,}{y}\right){-}\frac{{{\partial }}^{{2}}}{{\partial }{{y}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{v}{}\left({x}{,}{y}\right){=}{0}\right]$ (2)

Compatibility

 • The GetSystem command was introduced in Maple 2020.