中文

Group classification of nonlinear Schr\"odinger equations

数学物理 2007-05-23 v1 高能物理 - 理论 偏微分方程分析 math.MP 可精确求解与可积系统 量子物理

摘要

The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schr\"odinger equations of the form iψt+Δψ+F(ψ,ψ)=0i\psi_t+\Delta\psi+F(\psi,\psi^*)=0.

引用

@article{arxiv.math-ph/0301009,
  title  = {Group classification of nonlinear Schr\"odinger equations},
  author = {Anatoly G. Nikitin and Roman O. Popovych},
  journal= {arXiv preprint arXiv:math-ph/0301009},
  year   = {2007}
}

备注

11 pages, LaTeX2e