Letter to the Editor on a (2+1)-dimensional variable-coefficient Sawada-Kotera system in plasma physics and fluid dynamics

Attractive in plasma physics and fluid dynamics as well as based on Results Phys. 18, 103266 (2020) and Results Phys. 19, 103581 (2020), Results Phys. 42, 105992 (2022) has recommended a (2+1)-dimensional variable-coefficient Sawada-Kotera system, with its Painleve integrability via the singular manifold shown to require that three variable coefficients reduce to the constants and with certain breathers, lumps and line solitons for the Painleve-integrable special case constructed. In this Letter, we address that the system could be further investigated along the singular-manifold direction initialized by Results Phys. 42, 105992 (2022). Regardless of the Painleve integrability but staying with the singular manifold and symbolic computation, we accomplish two auto-Backlund transformations and some solitons for the system, with all the variable coefficients hereby existing.

Automated summary

This paper proposes a (2+1)-dimensional variable-coefficient Sawada-Kotera system with Painleve integrability, based on two articles published in Results Phys. in 2020. The paper constructs breathers, lumps, and line solitons for the Painleve-integrable special case. The authors further investigate the system and accomplish two auto-Backlund transformations and soliton solutions for the system.