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A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules

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Abstract

In this work, we develop a new (3+1)-dimensional Sakovich equation to describe nonlinear wave propagation. We use the truncation expansion method to confirm the Painlevé integrability of the newly established equation. Then, its general soliton solution and multiple-soliton solutions are constructed. We also verify that the equation possesses soliton molecules. A few of interesting features for the equation are discovered.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, 100048, People’s Republic of China

    Yu-Lan Ma

  2. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

  3. School of Computer Science and Engineering, Beijing Technology and Business University, Beijing, 100048, People’s Republic of China

    Bang-Qing Li

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  1. Yu-Lan Ma
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  2. Abdul-Majid Wazwaz
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  3. Bang-Qing Li
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Ma, YL., Wazwaz, AM. & Li, BQ. A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules. Qual. Theory Dyn. Syst. 21, 158 (2022). https://doi.org/10.1007/s12346-022-00689-5

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