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Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation

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Abstract

We prove that solutions of the Cauchy problem for the nonlinear Schrödinger equation with certain initial data collapse in a finite time, whose exact value we estimate from above. We obtain an estimate from below for the solution collapse rate in certain norms.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan

    Sh. M. Nasibov

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  1. Sh. M. Nasibov
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Correspondence to Sh. M. Nasibov.

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The author declares no conflicts of interest.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 203, No. 3, pp. 342–350, June, 2020.

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Nasibov, S.M. Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation. Theor Math Phys 203, 726–733 (2020). https://doi.org/10.1134/S0040577920060021

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  • DOI: https://doi.org/10.1134/S0040577920060021

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