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Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation

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Abstract

We consider the fourth-order nonlocal nonlinear Schrödinger equation and generate the Lax pair. We then employ Darboux transformation to generate dark and antidark soliton solutions. The highlight of the results is that one ends up generating a two-soliton solution characterized by one spectral parameter alone, a property which has never been witnessed so far.

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Acknowledgements

Authors thank Dr. V. G. Marikhin for his remarks and discussions. This work was supported, in part, by Grant No. 14-11-0039. R. Radha wishes to acknowledge financial assistance received from Council of Scientific and Industrial Research (No. 03(1456)/19/EMR-II Dated: 05/08/2019), Government of India.

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Authors and Affiliations

  1. Department of Theoretical Physics, Institute of Physics Dagestan Scientific Centre, Russian Academy of Science, Makhachkala, 367003, Russia

    T. A. Gadzhimuradov & A. M. Agalarov

  2. Centre for Nonlinear Science (CeNSc), Post-Graduate and Research Department of Physics, Government College for Women (Autonomous), Kumbakonam, 612001, India

    R. Radha

  3. Department of Physics, Presidency College (Autonomous), University Of Madras, Chennai, 600005, India

    B. Tamil Arasan

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  1. T. A. Gadzhimuradov
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  2. A. M. Agalarov
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  3. R. Radha
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Correspondence to T. A. Gadzhimuradov.

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Gadzhimuradov, T.A., Agalarov, A.M., Radha, R. et al. Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation. Nonlinear Dyn 99, 1295–1300 (2020). https://doi.org/10.1007/s11071-019-05354-2

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