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Novel soliton solutions of CNLSEs with Hirota bilinear method

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Abstract

The coupled nonlinear Schrödinger equation in the (2 + 1)-dimensional inhomogeneous PT-symmetric nonlinear coupler is studied. By employing Hirota bilinear method, the soliton solutions are obtained. When the dispersion and phase modulation coefficients adopt the constant, exponential function and hyperbolic functions, respectively, the dynamics of the localized structures including the periodic solitons are analytically investigated. Additionally, the wave propagation collision is discussed. The interactions between two solitons propagating in different directions are analyzed. It has certain significance for stable transmission of the solitons in fiber couplers.

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  1. School of Information and Management, Guangxi Medical University, Nanning, 530021, China

    Shaofu Wang

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Wang, S. Novel soliton solutions of CNLSEs with Hirota bilinear method. J Opt 52, 1602–1607 (2023). https://doi.org/10.1007/s12596-022-01065-x

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