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Variational Statement of the Schrödinger Equation with a Nonstationary Nonlinearity and Its Integrals of Motion

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Abstract

The inverse variational problem is solved for the nonlocal nonlinear Schrödinger equation modeling filamentation processes in various nonlinear media. The corresponding integral relations generalizing conservation laws to the nonconservative case are obtained.

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Authors and Affiliations

  1. Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences, Tomsk, 634055, Russia

    A. D. Bulygin & A. A. Zemlyanov

Authors
  1. A. D. Bulygin
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  2. A. A. Zemlyanov
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Correspondence to A. D. Bulygin.

Additional information

Original Russian Text © A.D. Bulygin, A.A. Zemlyanov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 10, pp. 1420–1424.

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Bulygin, A.D., Zemlyanov, A.A. Variational Statement of the Schrödinger Equation with a Nonstationary Nonlinearity and Its Integrals of Motion. Diff Equat 54, 1394–1398 (2018). https://doi.org/10.1134/S0012266118100105

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  • DOI: https://doi.org/10.1134/S0012266118100105

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