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Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrodinger equation

Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrodinger equation,P. BASARAB-HORWATH,W. I. FUSHCHYCH,L. F. BARA

Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrodinger equation   (Citations: 3)
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Using an ansatz for nonlinear complex wave equations obtained by using Lie point symmetries, we show how to construct new solutions of the relativistic nonlinear wave equation from those of a nonlinear Schrodinger equation with the same nonlinearity. This ansatz reduces the number of space-time variables by one, and is not related to a contraction. We give some examples of other types of hyperbolic equations admitting solutions based on nonlinear Schrodinger equations.
Published in 2004.
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