Email this article Effect of a small dispersion on self-focusing in a spatially one-dimensional case
- Authors: Suleimanov B.I.1
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Affiliations:
- Institute of Mathematics with Computer Center, Ufa Scientific Center
- Issue: Vol 106, No 6 (2017)
- Pages: 400-405
- Section: Nonlinear Phenomena
- URL: https://ogarev-online.ru/0021-3640/article/view/160593
- DOI: https://doi.org/10.1134/S0021364017180126
- ID: 160593
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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.
About the authors
B. I. Suleimanov
Institute of Mathematics with Computer Center, Ufa Scientific Center
Author for correspondence.
Email: bisul@mail.ru
Russian Federation, Ufa, 450008
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