Integrable boundary conditions and modified Lax equations
Copyright policy )Integrable boundary conditions and modified Lax equations
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.
27 pages Latex. References added and typos corrected
High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
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