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Solitary solutions to a relativistic two-body problem

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Abstract

Necessary and sufficient conditions for the existence of solitary solutions to a generalized model of a two-body problem perturbed by small post-Newtonian relativistic term are derived in this paper. It is demonstrated that kink, bright and dark solitary solutions exist in the model, when the relativistic effects are treated as higher order perturbations. Numerical experiments are used to verify theoretical results.

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Acknowledgement

This research was funded by a grant (No. MIP078/15) from the Research Council of Lithuania.

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Authors and Affiliations

  1. Department of Software Engineering, Kaunas University of Technology, Studentu 50-414, Kaunas, 51368, Lithuania

    R. Marcinkevicius

  2. Department of Mathematical Modeling, Kaunas University of Technology, Studentu 50-325, Kaunas, 51368, Lithuania

    Z. Navickas

  3. Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas, 51368, Lithuania

    M. Ragulskis & T. Telksnys

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  1. R. Marcinkevicius
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  2. Z. Navickas
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  3. M. Ragulskis
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  4. T. Telksnys
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Correspondence to M. Ragulskis.

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Marcinkevicius, R., Navickas, Z., Ragulskis, M. et al. Solitary solutions to a relativistic two-body problem. Astrophys Space Sci 361, 201 (2016). https://doi.org/10.1007/s10509-016-2792-2

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