We consider the soliton dynamics within the framework of an extended nonlinear Schrödinger equation with pseudo stimulated scattering, which occurs from the damped low-frequency waves, and the spatially inhomogeneous cubic nonlinearity. It is shown that the pseudo stimulated scattering, which leads to a shift of the spectrum of the soliton wave numbers to the long-wavelength region, and the nonlinearity, which increases with the coordinate and shifts the soliton spectrum to the short-wavelength region, can be in balance. The soliton solution, which results from this balance, is explicitly obtained.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 58, No. 3, pp. 227–234, March 2014.
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Aseeva, N.V., Gromov, E.M. & Tyutin, V.V. Solitons in an Extended Nonlinear Schrödinger Equation with Pseudo Stimulated Scattering and Inhomogeneous Cubic Nonlinearity. Radiophys Quantum El 58, 209–215 (2015). https://doi.org/10.1007/s11141-015-9594-1
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DOI: https://doi.org/10.1007/s11141-015-9594-1