Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity |
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Authors: | O V Matusevich V A Trofimov |
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Institution: | (1) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia |
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Abstract: | An iterative method is proposed to determine the eigenfunctions of a system of two nonlinear Schrödinger equations governing the interaction of two femtosecond pulses in a medium with quadratic and cubic nonlinearity. The method produces soliton solutions of a new form for a wide range of nonlinearity coefficients corresponding to the first and second eigenvalues. A specially chosen initial approximation is required to determine the third and higher eigenfunctions. |
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Keywords: | nonlinear Schr?dinger equation iterative method eigenfunction eigenvalue soliton femtosecond pulse |
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