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Effect of a small dispersion on self-focusing in a spatially one-dimensional case.

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    • Abstract:
      The effect of a small dispersion on the self-focusing of solutions of equations of nonlinear geometric optics in a spatially one-dimensional case has been studied. This effect in the leading order is described by a universal special solution of the nonlinear Schrödinger equation, k]which is isomonodromic. The analytical and asymptotic properties of this universal solution have been considered. [ABSTRACT FROM AUTHOR]