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On some optical soliton structures to the Lakshmanan-Porsezian-Daniel model with a set of nonlinearities

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Abstract

In this work, the Lakshmanan-Porsezian-Daniel model is investigated which is the generalization of the non-linear Schrödinger model, to describes the dynamical behavior of optical solitons. The extended modified auxiliary equation mapping method is employed to develop some new exact solitary wave solutions to the complex model with the ker law, the parabolic law and the anti-cubic law nonlinearities. As a result, dark solitons, light solitons, singular solitons, solitary wave, periodic solitary wave, rational function, and elliptic function solutions are established. In the current era of communications network technology and nonlinear optics, the applied strategy appears to be a more powerful and efficient approach for achieving exact optical solutions to a number of diversified contemporary models.

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Authors and Affiliations

  1. Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, AJK, 10250, Pakistan

    Kalim U. Tariq & Arslan Ahmed

  2. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

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  1. Kalim U. Tariq
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Tariq, K.U., Wazwaz, AM. & Ahmed, A. On some optical soliton structures to the Lakshmanan-Porsezian-Daniel model with a set of nonlinearities. Opt Quant Electron 54, 432 (2022). https://doi.org/10.1007/s11082-022-03830-5

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