These are the state variables, time/space flux functions and the dimension of the system

Out[111]=

{p, u, e}

Out[112]=

{p, p u, e p + (p u^2)/2}

Out[113]=

{p u, p + p u^2, p u + e p u + (p u^3)/2}

Out[114]=

3

Time-Flux-matrix, Space-Flux-matrix:

Out[121]//MatrixForm=

(                          )             1        0        0               u        p        0                 2               u           e + --               2    p u      p

Out[122]//MatrixForm=

(                                                        )             u       ...            u + e u + --       p + e p + ------                     2                    2      p u

This is the quasi-linear flux matrix:

Out[125]//MatrixForm=

(           )            u   p   0            1           -           p   u   0              0   1   u

Eigenvalues, Right Eigenvectors, Left Eigenvectors:

Out[130]//MatrixForm=

( -1 + u )            u            1 + u

Out[131]//MatrixForm=

( p    0    p  )            -1   0    1            1    1    1

Out[132]//MatrixForm=

(  1     1        )           ---   --           2 p    2    0             1           --            p    0     1             1    1           ---   -           2 p   2     0

Lie Bracket Matrix, Lie Bracket Coefficient Matrix

Out[140]//MatrixForm=

( ( 0 )   ( 0 )   ( 0 ) )      ...   0                       0                      0                       0                       0

Out[141]//MatrixForm=

( ( 0 )   ( 0 )   ( 0 ) )      ...   0                       0                      0                       0                       0

Tensor of interaction coefficients

Out[144]//MatrixForm=

( ( 0 )   ( 0 )   ( 0 ) )      ...   0                       0                      0                       0                       0


Created by Mathematica  (October 15, 2004)