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


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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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B. Suleimanov

Institute of Mathematics with Computer Center, Ufa Scientific Center

编辑信件的主要联系方式.
Email: bisul@mail.ru
俄罗斯联邦, Ufa, 450008

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