A. Ramani

activity

19932019

most citedDiscrete Painleve equations: coalescences, limits and degeneracies

131 citations · 826 across the 43 of their papers we have counts for

collaborators

Showing 1996Show all

3 papers · 1 filter

solv-int1996★ 44 cited

Cellular Automata and Ultra-Discrete Painlevé Equations

B. Grammaticos, Y. Ohta, A. Ramani +2

Starting from integrable cellular automata we present a novel form of Painlevé equations. These equations are discrete in both the independent variable and the dependent one. We sh…

solv-int1996★ 26 cited

From Discrete to Continuous Painlevé Equations: A Bilinear Approach

Y. Ohta, A. Ramani, B. Grammaticos +1

We present the bilinear forms of the (continuous) Painlevé equations obtained from the continuous limit of the analogous expresssions for the discrete ones. The advantage of this m…

solv-int1996★ 24 cited

Bilinear structure and Schlesinger transforms of the $q$ -P $_{III}$ and $q$ -P $_{VI}$ equations

M. Jimbo, H. Sakai, A. Ramani +1

We show that the recently derived ( $q$ -) discrete form of the Painlevé VI equation can be related to the discrete P $_{III}$ , in particular if one uses the full freedom in the i…

Cellular Automata and Ultra-Discrete Painlevé Equations

From Discrete to Continuous Painlevé Equations: A Bilinear Approach

Bilinear structure and Schlesinger transforms of the q-PIII​ and q-PVI​ equations

Bilinear structure and Schlesinger transforms of the $q$ -P $_{III}$ and $q$ -P $_{VI}$ equations