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Non-singular multi-complexiton wave to a generalized KdV equation

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Abstract

The major goal of the current paper is to conduct a detailed study on a generalized KdV equation (gKdVE) and its non-singular multi-complexiton wave. More precisely, first the multi-shock wave of the governing model is retrieved using the principle of linear superposition. Based on the multi-shock wave and the techniques adopted by Zhou and Manukure, the non-singular multi-complexiton wave to the gKdVE is then constructed with the help of symbolic computations. The dynamical properties of single and double shock waves as well as non-singular single and double complexiton waves are analyzed by representing a group of 3D-plots. The achievements of the present paper take an important step in completing the research on the generalized KdV equation.

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Authors and Affiliations

  1. Department of Mathematics, Near East University TRNC, Mersin 10, Turkey

    K. Hosseini, E. Hincal & O. A. Obi

  2. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey

    D. Baleanu

  3. Department of Medical Research, China Medical University, Taichung, 40447, Taiwan

    D. Baleanu

  4. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    S. Salahshour

  5. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    S. Salahshour

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  1. K. Hosseini
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  2. E. Hincal
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  3. D. Baleanu
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  4. O. A. Obi
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  5. S. Salahshour
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Correspondence to K. Hosseini, D. Baleanu or O. A. Obi.

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Hosseini, K., Hincal, E., Baleanu, D. et al. Non-singular multi-complexiton wave to a generalized KdV equation. Nonlinear Dyn 111, 7591–7597 (2023). https://doi.org/10.1007/s11071-022-08208-6

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  • DOI: https://doi.org/10.1007/s11071-022-08208-6

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