Nonlinear dynamics of optical solitons to the (2 + 1)-dimensional stochastic coupled nonlinear Schrödinger system with multiplicative white noise
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Emad H.M. Zahran
Abstract
The (2 + 1)-dimensional stochastic coupled nonlinear Schrödinger system with multiplicative white noise has significant effect in several fields as statistical mechanics, ecological systems, nonlinear optics, plasma physics, optical-fiber communications, and so forth. Through this article we will extract variety forms of the analytical solutions that represent the dynamical behaviors of the optical soliton solutions and the other rational solutions as well as the soliton velocity emerged by each method to the suggested model. For this purpose, we will utilize four various techniques namely the generalized Kudryashov schema, the Paul–Painleve approach schema, extended simple equation schema and Ricatti–Bernoulli sub order schema that will be applied individually to explore these various types of these optical soliton solutions. The suggested methods will be implemented independently and parallel. Multiple types of optical soliton solutions are detected in forms like the bright-dark, periodic solitons, W-like soliton, some other traveling wave solutions in forms trigonometric, hyperbolic, Jacobi elliptic rational function and solitary wave solutions are also explored. The 2-D and 3D Figure simulations of the dynamical soliton behaviors of all obtained solutions have been documented. All achieved solutions as well as 2D and 3D plots have been established by Mathematica program.
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Research ethics: Not available.
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Informed consent: Not available.
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Author contributions: Emad Zahran: Methodology, Software, visualization, analysis of the outcomes, resources, validation, review and editing. Ahmet Bekir: Formal analysis and investigation, conceptualization, Supervision, project administration, writing original draft.
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Use of Large Language Models, AI and Machine Learning Tools: Not available.
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Conflict of interest: The authors declare no conflict of interest.
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Research funding: None declared.
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Data availability: Not available.
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