Title: Bäcklund transformation and soliton solutions for two (3+1)-dimensional nonlinear evolution equations
Abstract: In this paper, two (3[Formula: see text]+[Formula: see text]1)-dimensional nonlinear evolution equations (NLEEs) are under investigation by employing the Hirota’s method and symbolic computation. We derive the bilinear form and bilinear Bäcklund transformation (BT) for the two NLEEs. Based on the bilinear form, we obtain the multi-soliton solutions for them. Furthermore, multi-soliton solutions in terms of Wronskian determinant for the first NLEE are constructed, whose validity is verified through direct substitution into the bilinear equations.
Publication Year: 2016
Publication Date: 2016-09-05
Language: en
Type: article
Indexed In: ['crossref']
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