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A variational principle for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity

✍ Scribed by Xin-Wei Zhou; Lin Wang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
205 KB
Volume
61
Category
Article
ISSN
0898-1221

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✦ Synopsis

Via He's semi-inverse method, a variational principle is established for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity. The result obtained includes the ones known from the open literature as special cases.

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Exact gray multi-soliton solutions for n
Exact gray multi-soliton solutions for nonlinear Schrödinger equation with variable coefficients
✍ Rongcao Yang; Ruiyu Hao; Lu Li; Xiaojuan Shi; Zhonghao Li; Guosheng Zhou 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 465 KB

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