A direct bilinear Bäcklund transformation of a (2+1)-dimensional Korteweg–de Vries-like model |
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| Institution: | 1. Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China;2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA;3. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa |
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| Abstract: | 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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| Keywords: | Quadrilinear representation Bilinear Bäcklund transformation Multisoliton solutions |
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