Dark solitons and Bäcklund transformation for the (2+1)-dimensional coupled nonlinear Schrödinger equation with the variable coefficients in a graded-index waveguide
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- 作者：Xiao-Yu Wu ; Bo Tian ; tian_bupt@163.com ; Xi-Yang Xie ; Jun Chai
- 关键词：Graded-index waveguide ; (2+1)-dimensional coupled nonlinear Schrö ; dinger equations ; Dark solitons ; Bä ; cklund transformation
- 刊名：Superlattices and Microstructures
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：101
- 期：Complete
- 页码：117-126
- 全文大小：2364 K
- 卷排序：101
文摘
We investigate the (2 + 1)-dimensional coupled nonlinear Schrödinger equations via Hirota method. We obtain the dark one-, two- and N-soliton solutions under a variable-coefficient constraint. We derive the Bäcklund transformation and the corresponding soliton solutions for such equations. We graphically study the dark solitons with the influence of the variable coefficients.