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Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique

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Abstract

In this paper, we introduce the generalized Kundu-Eckhaus equation (KEE) with extra-dispersion, which describes the propagation of the ultra-short femtosecond pulses in an optical fiber. Many exact solutions are constructed with the aid of improved modified extended tanh-function method and a new transformation . As a result, we have found a variety of new families of exact traveling wave solutions including bright solitons, dark solitons, singular solitons, Weierstrass elliptic doubly periodic solutions, Jacobi elliptic solutions, periodic solutions and rational solutions. Physical interpretation for some of the obtained solutions are illustrated in Figures.

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Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University, P.O. Box 11517, Abbassia, Cairo, Egypt

    Karim K. Ahmed & Niveen M. Badra

  2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, P.O. Box 11837, Cairo, Egypt

    Hamdy M. Ahmed

  3. Department of Basic Sciences, Higher Institute of Engineering and Technology, P.O. Box 32821, Menoufia city, Egypt

    Wafaa B. Rabie

  4. Department of Physics and Engineering Mathematics, Higher Institute of Engineering and Technology, Tanta, Egypt

    Wafaa B. Rabie

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  1. Karim K. Ahmed
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  4. Wafaa B. Rabie
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The authors declare that the study was realized in collaboration with the same responsibility. All authors read and approved the manuscript.

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Correspondence to Hamdy M. Ahmed.

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Ahmed, K.K., Badra, N.M., Ahmed, H.M. et al. Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique. Opt Quant Electron 55, 299 (2023). https://doi.org/10.1007/s11082-023-04599-x

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