The complete solution of some kinds of linear third order partial differential equations with three independent variables

الملخص EN

Our aim of this research is to find the complete solution of some kinds of linear third order partial differential equations of constant coefficients which have the general form A1 Zxxx + A2 Zyyy + A3 Zttt + A4 Zxxy +A5 Zxxt + A6 Zyyx + A7 Zyyt + A8 Zttx + A9 Ztty + A10 Zxyt + A11 Zxx + A12 Zyy + A13 Ztt + A14 Zxy + A15 Zxt + A16 Zyt +A17 Zx + A18 Zy + A19 Zt + A20 Z = 0 Where A i = 1, 2, ...

20 are constants.

By use the assumption Z (x, y, t) = e∫▒〖u (x)dx+ 〗 ∫▒〖v (xy)dy+ 〗 ∫▒〖w (t)dt 〗 will transform the above equation to the nonlinear second order ordinary differential equation with three independent functions u (x), v ( y) and w(t).