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


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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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A. Bulygin

Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences

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Email: b.a.d@iao.ru
俄罗斯联邦, Tomsk, 634055

A. Zemlyanov

Zuev Institute of Atmospheric Optics of the Siberian Branch of the Russian Academy of Sciences

Email: b.a.d@iao.ru
俄罗斯联邦, Tomsk, 634055

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