global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 83128 Separability and a Lax Pair for the c_{2}{(1)} Toda lattice Linearization of Algebraic Completely Integrable Systems MouandaJoachim Moussounda DehainsalaD. NonoG. F. Wankap UNITED KINGDOM 19 02 2024 24 F1 1 15

We consider the Toda lattice associated to the twisted affine Lie algebra 𝐶𝐶 2 (1) . It is well known that this system is a two-dimensional algebraic completely integrable system. By using algebraic geometric methods, we give a linearisation of the system by determining the linearizing variables. This allows us to explain a morphism between this system and the Mumford system. Finally, a Lax representation in terms of 2 x 2 matrices is constructed for this system.

 toda lattice integrable system linearisation lax representation. Full Text

We consider the Toda lattice associated to the twisted affine Lie algebra 𝐶𝐶2 (1). It is well known that this system is a two-dimensional algebraic completely integrable system. By using algebraic geometric methods, we give a linearisation of the system by determining the linearizing variables. This allows us to explain a morphism between this system and the Mumford system. Finally, a Lax representation in terms of 2 x 2 matrices is constructed for this system.