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Optical solitons perturbation and traveling wave solutions in magneto-optic waveguides with the generalized stochastic Schrödinger–Hirota equation

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Abstract

The main purpose of this work is to study the optical soliton solutions and single traveling wave solutions of the generalized stochastic Schrödinger–Hirota equation in magneto-optic waveguides. With the help of the complete discriminant system technique and symbolic computation, a range of new single traveling wave solutions and optcial solitons are derived, which include Jacobian elliptic function solutions, dark solitons, trigonometric function solutions, singular solitons, rational function solutions, hyperbolic function solutions, periodic wave solutions and solitary wave solutions. Lastly, in order to understand mechanisms of complex physical phenomena and dynamical processes for the generalized stochastic Schrödinger–Hirota equation in magneto-optic waveguides, two-dimensional and three-dimensional diagrams are also drawn.

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Funding

This work was supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China under grant No. 20115134110001.

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  1. School of Mathematics and Physics, Chengdu University of Technology, Chengdu, 610059, People’s Republic of China

    Lu Tang

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  1. Lu Tang
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LT: Writing—original draft, Conceptualization, Methodology, Writing—review & editing.

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Correspondence to Lu Tang.

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Tang, L. Optical solitons perturbation and traveling wave solutions in magneto-optic waveguides with the generalized stochastic Schrödinger–Hirota equation. Opt Quant Electron 56, 773 (2024). https://doi.org/10.1007/s11082-024-06669-0

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