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Exact solution of perturbed nonlinear Schrödinger equation using (\(G^\prime /\)G, 1/G)-expansion method

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Abstract

By constructing auxiliary equations and combining the expansion method of (\(G^{\prime }/G,1/G\)), we study a class of nonlinear Schrödinger equation with perturbation terms which describes the propagation of the waves in optical metamaterials. More types of exact solutions, particularly solitary wave solutions, are obtained for the first time.

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Acknowledgement

This work is supported by Natural Science Foundation of Guangxi 2017GXNSFBA198056 (Grant No. 80000(CNY)).

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Authors and Affiliations

  1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China

    Yanjie Wen & Yongan Xie

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  1. Yanjie Wen
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  2. Yongan Xie
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Correspondence to Yongan Xie.

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Wen, Y., Xie, Y. Exact solution of perturbed nonlinear Schrödinger equation using (\(G^\prime /\)G, 1/G)-expansion method. Pramana - J Phys 94, 18 (2020). https://doi.org/10.1007/s12043-019-1875-3

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  • DOI: https://doi.org/10.1007/s12043-019-1875-3

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