Nonstable solitons and sharp criteria for wave collapse
- 1 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 47 (1) , R13-R16
- https://doi.org/10.1103/physreve.47.r13
Abstract
Sharp sufficient criteria for collapse are found for the nonlinear Schrödinger equation in the so-called supercritical case as well as for the Ginzburg-Landau equation in the case of the subcritical bifurcation. It is demonstrated that nonstable solitons in these models, under some additional assumptions, play the role of a ‘‘boundary’’ (saddle points) between collapsing and noncollapsing solutions.Keywords
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