English

Scattering Amplitudes for Multi-indexed Extensions of Soliton Potential and Extended KdV Integer Solitons

Mathematical Physics 2015-06-23 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems Quantum Physics

Abstract

We calculate quantum mechanical scattering problems for multi-indexed extensions of soliton potential by Darboux transformations in terms of pseudo virtual wavefunctions. As an application, we calculate infinite set of higher integer KdV solitons by the inverse scattering transform method of KdV equation.

Keywords

Cite

@article{arxiv.1409.8574,
  title  = {Scattering Amplitudes for Multi-indexed Extensions of Soliton Potential and Extended KdV Integer Solitons},
  author = {Jen-Chi Lee},
  journal= {arXiv preprint arXiv:1409.8574},
  year   = {2015}
}

Comments

12 pages, no figure. work presented at ISQS-22 at Prague, Czech 2014, and XOP conference at Segovia, Spain 2014. v2 refs [5],[6] added