Embedded solitons with ⁽²⁾ nonliner susceptibility

This paper recovers optical soliton solutions with chi((2))-nonlinear susceptibility. Bright, dark, singular, bright-dark combo solitons are recovered. A variety of algorithms are implemented. These include the Riccati equation approach, exp-function expansion method, modified simple equation algorithm, sine-Gordon equation scheme, F-expansion approach, trial function method, and functional variable algorithm. (c) 2023 Sharif University of Technology. All rights reserved.