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Logarithmic transformation for the resonant nonlinear Schrödinger’s equation with parabolic nonlinearity equation

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Abstract

By applying the Logarithmic transformation wave methods, the parabolic resonant Schrödinger’s equation is obtained new analytical propagation wave solutions. This method give us a strong mathematical tool for solving nonlinear equations in mathematical physics. By symbolical computation of parameters, then we can get new multi-peak and kinky breathers solutions. The obtained solutions are illustrated in 3D representation graphically to clarify their physical parameters.

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Authors and Affiliations

  1. Department of Sciences and Technology, Ranyah University College, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    K. El-Rashidy

  2. Mathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

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  1. K. El-Rashidy
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  2. Aly R. Seadawy
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Correspondence to Aly R. Seadawy.

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El-Rashidy, K., Seadawy, A.R. Logarithmic transformation for the resonant nonlinear Schrödinger’s equation with parabolic nonlinearity equation. Opt Quant Electron 54, 430 (2022). https://doi.org/10.1007/s11082-022-03815-4

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