Abstract
Sharp sufficient critria for collapse is found for several well-known nonlinear equations. It is suggested to use wave collapse mechanism for optical pulses compression. An example of the nonlinear optical medium, which is described by the Ginzburg-Landau equation for a subcritical bifurcation, is ivestigated and the exact sufficient criterion of the blow-up is obtained.
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© 1993 Springer Science+Business Media Dordrecht
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Turitsyn, S.K. (1993). Sharp Criteria for Wave Collapse and Wave Collapse Ideology in Application to Optical Pulses Compression. In: Caflisch, R.E., Papanicolaou, G.C. (eds) Singularities in Fluids, Plasmas and Optics. NATO ASI Series, vol 404. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2022-7_25
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DOI: https://doi.org/10.1007/978-94-011-2022-7_25
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