Integrable boundary conditions and modified Lax equations

Details Integrable boundary conditions and modified Lax equations Integrable boundary conditions and modified Lax equations

2007-10-08

arxiv.org/abs/0710.1538v2

Nucl. Phys.B800:591-612, 2008

Physics

High Energy Physics

High Energy Physics - Theory

27 pages Latex. References added and typos corrected

Scientific paper

10.1016/j.nuclphysb.2008.04.004

We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.

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