Abundant solutions of various physical features for the (2+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation

By using various techniques, we investigate the (2$$+$$+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation. This equation is integrable under the mean of the consistent Riccati expansion method. The truncated Painlevé expansion, the simplified Hirota’s method and other methods are used as powerful vehicles to conduct the analysis. We formally derive, in explicit forms, abundant solutions of distinct physical structures, including multiple soliton solutions, multiple complex soliton solutions, kink solutions and singular solutions.

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