A new (3+1)-dimensional Sakovich equation in nonlinearwave motion: Painlevé integrability, multiple solitons andsoliton molecules

• Yu-Lan Ma ^[1] ; Abdul-Majid Wazwaz ^[2] ; Bang-Qing Li ^[1]
  1. [1] Beijing Technology and Business University

     Beijing Technology and Business University

     China

     
  2. [2] Saint Xavier University

     Saint Xavier University

     City of Chicago, Estados Unidos

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • In this work, we develop a new (3+1)-dimensional Sakovich equation to describenonlinear 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 equationpossesses soliton molecules. A few of interesting features for the equation are discovered.