The Integration Algorithm of Lax equation for both Generic Lax matrices and Generic Initial Conditions
High Energy Physics - Theory
2010-04-22 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Several physical applications of Lax equation require its general solution for generic Lax matrices and generic not necessarily diagonalizable initial conditions. In the present paper we complete the analysis started in [arXiv:0903.3771] on the integration of Lax equations with both generic Lax operators and generic initial conditions. We present a complete general integration formula holding true for any (diagonalizable or non diagonalizable) initial Lax matrix and give an original rigorous mathematical proof of its validity relying on no previously published results.
Cite
@article{arxiv.0904.0801,
title = {The Integration Algorithm of Lax equation for both Generic Lax matrices and Generic Initial Conditions},
author = {Wissam Chemissany and Pietro Fre and Alexander S. Sorin},
journal= {arXiv preprint arXiv:0904.0801},
year = {2010}
}
Comments
7 pages, LaTex; v2: a few misprints corrected