Separability and a Lax Pair for the c_{2}{(1)} Toda lattice

1
Joachim Moussounda Mouanda
Joachim Moussounda Mouanda
2
D. Dehainsala
D. Dehainsala
3
G. F. Wankap Nono
G. F. Wankap Nono

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We consider the Toda lattice associated to the twisted affine Lie algebra 𝐢𝐢 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.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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Joachim Moussounda Mouanda. 2026. \u201cSeparability and a Lax Pair for the c_{2}{(1)} Toda lattice\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 24 (GJSFR Volume 24 Issue F1): .

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Easy-to-understand visualization of separability in lattice theory.
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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February 19, 2024

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We consider the Toda lattice associated to the twisted affine Lie algebra 𝐢𝐢 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.

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Separability and a Lax Pair for the c_{2}{(1)} Toda lattice

Joachim Moussounda Mouanda
Joachim Moussounda Mouanda
D. Dehainsala
D. Dehainsala
G. F. Wankap Nono
G. F. Wankap Nono

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