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A direct bilinear Bäcklund transformation of a (2+1)-dimensional Korteweg–de Vries-like model
Journal article   Peer reviewed

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

Xing Lü, Wen-Xiu Ma and Chaudry Masood Khalique
Applied mathematics letters, Vol.50, pp.37-42
01/12/2015
DOI: https://doi.org/10.1016/j.aml.2015.06.003

Abstract

Bilinear Bäcklund transformation Multisoliton solutions Quadrilinear representation
We directly construct a bilinear Bäcklund 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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