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

Yu Lan Ma, Abdul Majid Wazwaz, Bang Qing Li

• 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.