English

On representation of the P-Q pair solution at the singular point neighborhood

Mathematical Physics 2007-05-23 v2 math.MP Exactly Solvable and Integrable Systems

Abstract

The compatible expansion in series of solutions of both the equations of P-Q pair at neighborhood of the singular point is obtained in closed form for regular and irregular singularities. The conservation laws of the system of ordinary differential equations to arise from the compatibility condition of the P-Q pair are derived.

Keywords

Cite

@article{arxiv.math-ph/0001020,
  title  = {On representation of the P-Q pair solution at the singular point neighborhood},
  author = {N. V. Ustinov},
  journal= {arXiv preprint arXiv:math-ph/0001020},
  year   = {2007}
}

Comments

6 pages, LaTeX2e