| Abstract: |
| In this talk, we will provide an overview of the Kadomtsev-Petviashvili (KP) reduction method, a powerful technique for deriving exact solutions to nonlinear partial differential equations. In particular, we will focus on the Sasa-Satsuma equation, a higher-order nonlinear Schr\{o}dinger-type equation that plays a crucial role in nonlinear optics and fluid dynamics. Using the KP reduction method, we construct explicit rogue wave solutions. This talk is based on joint work with Feng Bao-Feng, Shi Changyan, and Zhang Guangxiong. |
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