Integrability aspects of a Schwarzian PDE
2001; Elsevier BV; Volume: 284; Issue: 6 Linguagem: Inglês
10.1016/s0375-9601(01)00295-x
ISSN1873-2429
AutoresAnastasios Tongas, D. Tsoubelis, Pavlos Xenitidis,
Tópico(s)Advanced Differential Equations and Dynamical Systems
ResumoWe present a reduction of the anti-self-dual Yang–Mills (ASDYM) equations to a system of partial differential equations (PDEs) introduced recently by Nijhoff et al. (Phys. Lett. A 267 (2000) 147). An auto-Bäcklund transformation of the reduced system is also presented. The system under consideration is related to a fourth-order nonlinear PDE of the Schwarzian type. The symmetry group of the latter equation is calculated and similarity reductions to the Schwarzian equation and the full Painlevé III, V and VI are presented.
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