G. Lobo

activity

20202023

most citedGauge Miura and Backlund Transformations for Generalized

A_{n}

-KdV Hierarchies

9 citations · 18 across the 6 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

nlin.SI2023★ 1 cited

Two-fold degeneracy of a class of rational Painlevé V solutions

H. Aratyn, J. F. Gomes, G. V. Lobo +1

We present a construction of a class of rational solutions of the Painlevé V equation that exhibit a two-fold degeneracy, meaning that there exist two distinct solutions that share…

nlin.SI2023

Why is my rational Painlevé V solution not unique?

H. Aratyn, J. F. Gomes, G. V. Lobo +1

Under special conditions the Painlevé V equation has more than one rational solution solving it with the same parameters. In the setting of formalism that identifies points on orbi…

nlin.SI2023

Derivation of Painlevé type system with $D_{4}^{(1)}$ affine Weyl group symmetry in a self-similarity limit

H. Aratyn, J. F. Gomes, G. V. Lobo +1

We show how the zero-curvature equations based on a loop algebra of $D_{4}$ with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled…

Two-fold degeneracy of a class of rational Painlevé V solutions

Why is my rational Painlevé V solution not unique?

Derivation of Painlevé type system with D4(1)​ affine Weyl group symmetry in a self-similarity limit

Derivation of Painlevé type system with $D_{4}^{(1)}$ affine Weyl group symmetry in a self-similarity limit