Integrable generalization of the modified Camassa–Holm equation in 2+1 dimensions

We propose a new (2+1)-dimensional modified Camassa–Holm equation by applying a reciprocal transformation to the negative modified Kadomtsev–Patvishvili II equation. We construct multi-soliton solutions of the new equation by combining the reciprocal transformation and the Darboux transformation of the negative modified Kadomtsev–Patvishvili II equation.