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A Rogue-Langmuir-type traveling wave continuous solution to nonlinearly dispersive Schr\"{o}dinger equation using a polynomial expansion scheme

Mathematical Physics 2012-07-30 v1 Functional Analysis math.MP

Abstract

In this paper, traveling wave solutions to the nonlinearly dispersive Schr\"odinger equation are given in the case of one-dimensional non-relativistic electron confined to a cylindrical quantum well. Investigations gave evidence to the possibility of implementing continuous solutions for a quantum-based problem.

Keywords

Cite

@article{arxiv.1207.6516,
  title  = {A Rogue-Langmuir-type traveling wave continuous solution to nonlinearly dispersive Schr\"{o}dinger equation using a polynomial expansion scheme},
  author = {Karem Boubaker and Lin Zhang},
  journal= {arXiv preprint arXiv:1207.6516},
  year   = {2012}
}

Comments

9 pages, 4 figures, LaTeX, any comments are welcome!