Trilinear equations, Bell polynomials, and resonant solutions

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Lump and lump-soliton solutions to the $$(2+1)$$(2+1)-dimensional Ito equation (2018, background): “This kind of mixed solutions is different from resonant solutions by the linear superposition principle [35,36] and could describe complicated nonlinear physical phenomena.”
N-soliton solutions and the Hirota conditions in (2+1)-dimensions (2020, background): “A generalized bilinear equation possesses a resonant N-soliton solution (Ma 2013a, b): where ci ’s are arbitrary constants and i ’s are defined as in Sect.”