Exact solutions of the generalized nonlinear Schrödinger equation with time- and space-modulated coefficients
✍ Scribed by Xiao-Fei Zhang; Lin Wen; Xiao-Bing Luo; Zheng-Wei Xie
- Book ID
- 113851763
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 241 KB
- Volume
- 376
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
In this paper, the generalized nonlinear Schro ¨dinger equation with variable coefficients is studied. First, exact gray one-soliton solution in explicit form is obtained by using the complex amplitude ansatz method. Second, the multisoliton solutions are constructed through suitable mapping and the
## Abstract Using a general symmetry approach we establish transformations between different non‐linear space–time dependent evolution equations of Schrödinger type and their respective solutions. As a special case we study the transformation of the standard non‐linear Schrödinger equation (NLS)‐eq