New approach to the correlation problem: Electron interaction potential as a variable in solving the many-particle Schrödinger equation

A new approach to exact soliton solution

A new approach to exact soliton solutions and soliton interaction for the nonlinear Schrödinger equation with variable coefficients

✍ Ruiyu Hao; Lu Li; Zhonghao Li; Wenrui Xue; Guosheng Zhou 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 454 KB

In this paper, the generalized nonlinear Schr€ odinger equation with variable coefficients is considered from the integrable point of view, and an exact multi-soliton solution is presented by employing the simple, straightforward Darboux transformation based on the Lax Pair, and then one-and two-sol