Abstract
This work studies the optical solitons with time-modulated nonlinearities and spatiotemporal dispersion. Four types of nonlinearity—Kerr law nonlinearity, parabolic law nonlinearity, power law nonlinearity, and dual-power law nonlinearity—are considered. The non-auto-Backlund transformation is obtained. Analytical soliton solutions are constructed. The presented results can be applied in the area of dispersion- and nonlinearity-managed solitons.
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