GroupFromAlgebra

GroupFromAlgebra[l]
gives the action of the local group that corresponds to the infinitesimal generator l. In other words, performs the exponentiation for this element of the Lie algebra.
  • GroupFromAlgebra returns either the list of the local group transformations depending on the variable or the system of ODEs needed to be solved. The variables that do not change under the action of the local group are not included.
In[1]:=
Click for copyable input
Let the symmetry:
In[2]:=
Click for copyable input
Out[2]=
the corresponding local Lie group is given by the action:
In[3]:=
Click for copyable input
Out[3]=
 
In[1]:=
Click for copyable input
Let the symmetry:
In[2]:=
Click for copyable input
Out[2]=
the corresponding local Lie group is given by the action:
In[3]:=
Click for copyable input
Out[3]=
 
In[1]:=
Click for copyable input
Let the symmetry:
In[2]:=
Click for copyable input
Out[2]=
the corresponding local Lie group is given by the action:
In[3]:=
Click for copyable input
Out[3]=
 
In[1]:=
Click for copyable input
Let the symmetry:
In[2]:=
Click for copyable input
Out[2]=
In this case the system of ODEs is not solvable analytically by DSolve and was returned instead:
In[3]:=
Click for copyable input
Out[3]=