Marching methods for the solution of the generalized nonlinear Schrodinger equation

Two forms of implementing the Crank-Nicolson method for the case of nonlinear optical propagation are compared with the faster split operator method. Stability and convergence of the methods are also analyzed. It is shown that in general the split operator method does not conserve power to the same degree as the Crank-Nicolson method does and it fails to converge in the case of strong nonlinearity.<
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