Abstract
Structure of nonlinear stationary states of the extended nonlinear Schrödinger equation (ENSE) with a source has been analyzed with allowance for both third-order and nonlinearity dispersion. A new class of particular solutions (solitary waves) of the ENSe has been obtained. The scenario of the destruction of these states under the effect of an external perturbation has been investigated analytically and numerically. The results obtained can be used to interpret experimental data on the weakly nonlinear dynamics of the magnetostatic envelope in heterophase ferromagnet-insulator-metal, metal-insulator-ferromagnet-insulator-metal, and other similar structures and upon the simulation of nonlinear processes in optical systems.
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Original Russian Text © M.A. Borich, V.V. Smagin, A.P. Tankeev, 2007, published in Fizika Metallov i Metallovedenie, 2007, Vol. 103, No. 2, pp. 122–135.
The author is also known by the name Tankeyev. The name used here is a transliteration under the BSI / ANSI scheme adopted by this journal.—Ed.
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Borich, M.A., Smagin, V.V. & Tankeev, A.P. Stationary states of extended nonlinear Schrödinger equation with a source. Phys. Metals Metallogr. 103, 118–130 (2007). https://doi.org/10.1134/S0031918X07020020
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DOI: https://doi.org/10.1134/S0031918X07020020