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- W1987573871 abstract "A method has been presented for constructing non-separable solutions of homogeneous linear partial differential equations of the type F(D, D′)W = 0, where D = ∂∂x, D′ = ∂∂y, F(D,D′)=∑nr+s=0CrsDrD′s, where crs are constants and n stands for the order of the equation. The method has also been extended for equations of the form Φ(D, D′, D″)W = 0, where D = ∂∂x, D′ = ∂∂y, D″ = ∂∂z and Φ(D,D′,D″)W=∑nr+s+t=0CrstDrD′sDtD″s. As illustration, the method has been applied to obtain nonseparable solutions of the two and three dimensional Helmholtz equations." @default.
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- W1987573871 date "1973-04-01" @default.
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- W1987573871 title "A note on non-separable solutions of linear partial differential equations" @default.
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- W1987573871 doi "https://doi.org/10.1016/0022-247x(73)90132-7" @default.
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