Abstract
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 Painlevé 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 Painlevé-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 Painlevé integrability but staying with the singular manifold and symbolic computation, we accomplish two auto-Bäcklund transformations and some solitons for the system, with all the variable coefficients hereby existing.
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