I don't understand what is the purpose of imposing the condition $$\eqalign{
& {A_0}^2 + {B_0}^2 \ne 0 \cr
& {A_1}^2 + {B_1}^2 \ne 0 \cr} $$Thanks.
2026-03-25 06:02:24.1774418544
The purpose of imposing some conditions on initial data
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If $A_0^2 + B_0^2 = 0$ we dont have have boundary condition. We cant solve the problem if we dont have boundary condition.