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

作者：Lue, Xing; Ma, Wen-Xiu; Khalique, Chaudry Masood

来源：Applied Mathematics Letters, 2015, 50: 37-42.

DOI：10.1016/j.aml.2015.06.003

• Quadrilinear representation
• Bilinear Backlund transformation
• Multisoliton solutions

We directly construct a bilinear Backlund transformation (BT) of a (2+1)-dimensional Korteweg-de Vries-like model. The construction is based on a socalled 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.

• 出版日期2015-12
• 单位西北大学; 北京交通大学