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Showing 1 to 3 of 3 for “"Discrete integrable systems"”.
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Cluster algebras and discrete integrable systems
… connections between cluster algebras and discrete integrable systems, especially T-systems and their specializations/generalizations. We give connections between the T-system or the octahedron relation, and the pentagram map and its various generalizations. A solution to the T-system with …
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On orthogonal polynomials and related discrete integrable systems
… polynomial community after their connection with integrable systems was found. This thesis is concerned with the different ways these connections can occur. We approach the problem from both perspectives, by looking for integrable structures in orthogonal polynomials and by using an integrable …
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Continuous and quad-graph integrable models with a boundary: Reflection maps and 3D-boundary consistency
… on boundary problems for various classical integrable schemes. First, we consider the vector nonlinear Schrodinger (NLS) equation on the halfline. Using a Backlund transformation method which explores the folding symmetry of the system, classes of integrable boundary conditions (BCs) are …