Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2018.1452672
Abstract: Abstract A class of symmetry transformations of a type originally introduced in a nonlinear optics context is used here to isolate an integrable Ermakov-Painlevé II reduction of a resonant NLS equation which encapsulates a nonlinear… read more here.
Keywords: painlev reduction; cold plasma; physics; plasma physics ... See more keywords
On a Dirichlet boundary value problem for an Ermakov–Painlevé I equation. A Hamiltonian EPI system
Sign Up to like & getrecommendations! Published in 2023 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2023.1.23
Abstract: Here, a proto-type Ermakov–Painlevé I equation is introduced and a homogeneous Dirichlet-type boundary value problem analysed. In addition, a novel Ermakov–Painlevé I system is set down which is reducible by an involutory transformation to the… read more here.
Keywords: system; ermakov painlev; painlev equation; ermakov ... See more keywords