Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities

Studied in this work are embedded solitons with quadratic nonlinearity that includes the effect of spatio-temporal dispersion. Two integration schemes yield bright, dark, singular and combo singular soliton solutions from the continuous regime. The existence criteria for these solitons are also included.

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This study examines embedded solitons with quadratic nonlinearity that accounts for spatio-temporal dispersion. Two integration schemes are used to obtain bright, dark, singular, and combo singular soliton solutions from the continuous regime. The criteria for the existence of these solitons are also discussed.