Variational Statement of the Schrödinger Equation with a Nonstationary Nonlinearity and Its Integrals of Motion
- Authors: Bulygin A.D.1, Zemlyanov A.A.1
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Affiliations:
- Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences
- Issue: Vol 54, No 10 (2018)
- Pages: 1394-1398
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154859
- DOI: https://doi.org/10.1134/S0012266118100105
- ID: 154859
Cite item
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.
About the authors
A. D. Bulygin
Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences
Author for correspondence.
Email: b.a.d@iao.ru
Russian Federation, Tomsk, 634055
A. A. Zemlyanov
Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences
Email: b.a.d@iao.ru
Russian Federation, Tomsk, 634055
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