Effect of a small dispersion on self-focusing in a spatially one-dimensional case |
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| Authors: | B. I. Suleimanov |
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| Affiliation: | 1.Institute of Mathematics with Computer Center, Ufa Scientific Center,Russian Academy of Sciences,Ufa,Russia |
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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. |
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