A direct bilinear Bäcklund transformation of a (2+1)-dimensional Korteweg-de Vries-like model

Abstract We directly construct a bilinear Backlund transformation (BT) of a (2+1)-dimensional Korteweg–de Vries-like model. The construction is based on a so-called quadrilinear representation. The resulting bilinear BT is in accordance with the auxiliary-independent-variable-involved one derived with the Bell-polynomial scheme. Moreover, by applying the gauge transformation and the Hirota perturbation technique, multisoliton solutions are iteratively computed.

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