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A large family of optical solutions to Kundu–Eckhaus model by a new auxiliary equation method

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Abstract

The present study suggests a large family of optical solutions to the Kundu–Eckhaus model. Modified form of an auxiliary equation approach have been used to set the solution families. Compatible variable transform reduces the governing equation to a non linear ordinary differential equation. The parameters of the predicted solution in finite series form are determined by substitution of the solution into this ODE. The results cover a large family of optical solutions that are determined by implementation of various techniques in the literature. In this perspective, the modifed form of the a auxiliary equation approach is evaluated as a generalization of different methods widely used to construct the solutions.

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Authors and Affiliations

  1. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  2. Department of Mathematics, Çankırı Karatekin University, Çankırı, Turkey

    Alper Korkmaz

  3. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mostafa Eslami

  4. Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran

    Seyed Mehdi Mirhosseini-Alizamini

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  1. Hadi Rezazadeh
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  2. Alper Korkmaz
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  3. Mostafa Eslami
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  4. Seyed Mehdi Mirhosseini-Alizamini
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Correspondence to Hadi Rezazadeh.

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Rezazadeh, H., Korkmaz, A., Eslami, M. et al. A large family of optical solutions to Kundu–Eckhaus model by a new auxiliary equation method. Opt Quant Electron 51, 84 (2019). https://doi.org/10.1007/s11082-019-1801-4

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