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Abstract
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The optical soliton and exact solutions of the stochastic concatenation model are obtained by using the modifed extended direct algebraic method. This method provides a wide vari ety of stochastic solutions, including stochastic bright solitons, stochastic dark solitons, stochastic dark combo solitons, stochastic singular combo solitons, stochastic periodic solutions, stochastic rational solutions, stochastic Jacobi elliptic functions solutions and stochastic Weierstrass elliptic functions solutions. For a variety of nonlinear partial differ ential equations, this method offers a practical and effective method for determining exact solutions. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths
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