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The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
The unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the variable -coefficient unstable nonlinear Schrödinger (vcUNLS) eq...
In this paper we present the exact solution of reduced wave equation with a variable coefficient Δu(x) + k2n(x)u(x) = 0 for n(x) = n(r) ,r = |x| by the solution of a classic Riccati differential equat...

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