Journal
APPLIED MATHEMATICS LETTERS
Volume 50, Issue -, Pages 37-42Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2015.06.003
Keywords
Quadrilinear representation; Bilinear Backlund transformation; Multisoliton solutions
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Funding
- National Natural Science Foundation of China [61308018, 11371326, 11271008, 61072147, 11271266, 11371323]
- China Postdoctoral Science Foundation [2014T70031]
- Fundamental Research Funds for the Central Universities of China [2014RC019, 2015JBM111]
- Natural Science Foundation of Shanghai [11ZR1414100]
- Zhejiang Innovation Project of China [T200905]
- First-class Discipline of Universities in Shanghai
- Shanghai University Leading Academic Discipline Project [A13-0101-12-004]
- Shanghai University of Electric Power
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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