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Bell and Kink type, Weierstrass and Jacobi elliptic, multiwave, kinky breather, M-shaped and periodic-kink-cross rational solutions for Einstein’s vacuum field model

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Abstract

This article uses appropriate transformations and the sub-ODE method to reveal multiwave, homoclinic breather, M-shaped rational, periodic cross rational, kink cross rational, periodic cross kink, and other soliton solutions for Einstein’s vacuum field problem. Additionally, the interaction of rational solitons in the M shape with an exponential function and a double exponential form is disclosed.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

    Syed T. R. Rizvi & Sarfaraz Ahmed

  2. Mathematics Department, Faculty of Science, Taibah University, 41411, Al-Madinah Al-Munawarah, Kingdom of Saudi Arabia

    Aly R. Seadawy

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  1. Syed T. R. Rizvi
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Correspondence to Aly R. Seadawy or Sarfaraz Ahmed.

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Rizvi, S.T.R., Seadawy, A.R. & Ahmed, S. Bell and Kink type, Weierstrass and Jacobi elliptic, multiwave, kinky breather, M-shaped and periodic-kink-cross rational solutions for Einstein’s vacuum field model. Opt Quant Electron 56, 456 (2024). https://doi.org/10.1007/s11082-023-06037-4

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