J. F. Gomes

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most citedHirota's Solitons in the Affine and the Conformal Affine Toda Models

64 citations · 945 across the 94 of their papers we have counts for

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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…

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