Geodesic
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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For the $q$-Painlevé equation with affine Weyl group symmetry of type $E_6^{(1)}$, a $2\times 2$ matrix Lax form and a second order scalar lax form were known. We give a new $3\times 3$ matrix Lax form and a third order scalar equation related to it. Continuous limit is also discussed.
Mots-clés : Lax formalism, $q$-Painlevé equation. 
@article{SIGMA_2023_19_a93,
     author = {Kanam Park},
     title = {A $3 \times 3$ {Lax} {Form} for the $q${-Painlev\'e} {Equation} of {Type} $E_6$},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2023},
     volume = {19},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a93/}
}
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Kanam Park. A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a93/

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