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Question: Why Maple returns empty solution?

Question:Why Maple returns empty solution?

WA573 80 Maple 2020
syntax 2dmath pde differential-equations
November 15 2022
1

Why Maple returns empty solution (see eq. (5))? Also, is it possible that Maple not only gives us the explit solution but also the solution steps?

> 

restart
> 

with(PDEtools, TWSolutions, declare)

[TWSolutions, declare]

 (1)
> 

with(DEtools, diff_table)

[diff_table]

 (2)
> 

U := diff_table(u(x, t))

table( [( ) = u(x, t) ] )

 (3)
> 

sys := {U[]*U[x]+U[t]-pU[x, x]+qU[x, x, x] = 0}

{u(x, t)*(diff(u(x, t), x))+diff(u(x, t), t)-pU[x, x]+qU[x, x, x] = 0}

 (4)
> 

TWS_sol := TWSolutions(sys)

(5)
> 

map(pdetest, [TWS_sol], sys)

[]

 (6)

``

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