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A variable-coefficient unstable nonlinear Schrödinger model for the electron beam plasmas and Rayleigh–Taylor instability in nonuniform plasmas: Solutions and observable effects
A variable-coefficient unstable nonlinear Schrödinger model is hereby investigated, which arises in such applications as the electron-beam plasma waves and Rayleigh–Taylor instability in nonuniform plasmas. With computerized symbolic computation, families of exact analytic dark- and bright-soliton-like solutions are found, of which some previously published solutions turn out to be the …