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We analyze self-focusing and singularity formation in the nonlinear Schrödinger equation (NLS) with high-order dispersion i ₜ q + ||^2 = 0, in the isotropic mixed-dispersion NLS i ₜ + + ² + ||^2 = 0, and in nonisotropic mixed-dispersion NLS equations which model propagation in fiber arrays.
Ilan et al. (Tue,) studied this question.
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