Painlevé Analysis and Analytic Solutions of a Variable-Coefficient Sawada-Kotera System in Shallow Water, Ion-Acoustic Waves and Fluid Flow Dynamics

Abstract

A variable-coefficient Sawada-Kotera system is investigated that models the nonlinear behaviors of waves in shallow water, ion-acoustic waves in plasma environments and fluid flow dynamics. The Painlevé integrability is tested by the WTC method with the simplified form of Krustal. The Hirota bilinear method is employed to derive the bilinear form. Consequently, we obtain a variety of analytic solutions, including soliton, lump, and breather solutions. In addition, the interactions between the lump soliton and one stripe soliton, among with the breather soliton and one stripe soliton are discussed.