Abstract
Using the shooting method, one of the numerical methods to solve two-point boundary-value problems, numerical solutions of the nonlinear coupled-wave equations in degenerate two-wave and four-wave mixing can be obtained. In this first part of the paper the general shooting method is described, and then applied to two-wave mixing in a reflection geometry. Computed results are presented in graphical form. Comparison between the shooting method and the direct numerical method [1] is made also. In the second part of the paper, numerical solutions for four-wave mixing in a reflection geometry will be given.
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