A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
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New soliton solutions for Chen-Lee-Liu and Burgers hierarchies are derived via dressing methods on zero and non-zero vacua, classified by vertex operators, and extended by gauge-Bäcklund transformations.
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Holonomies and Boundary Symmetries in the Discrete BF Formulation of Carroll Dilaton Gravity
A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
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New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its B\"acklund transformations
New soliton solutions for Chen-Lee-Liu and Burgers hierarchies are derived via dressing methods on zero and non-zero vacua, classified by vertex operators, and extended by gauge-Bäcklund transformations.