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nlin.SI2005★ 7 cited
A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation
P. R. Gordoa, A. Pickering, M. Senthilvelan
We investigate the Painleve analysis for a (2+1) dimensional Camassa-Holm equation. Our results show that it admits only weak Painleve expansions. This then confirms the limitation…
nlin.SI2005★ 2 cited
Bäcklund transformations for fourth Painlevé hierarchies
Pilar R. Gordoa, Nalini Joshi, Andrew Pickering
Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improve…