Coupled Painleve VI system with E_6^{(1)} symmetry
Kenta Fuji, Takao Suzuki
TL;DR
This paper introduces a new sixth-order Hamiltonian system with affine Weyl group symmetry of type E_6^{(1)}, expanding the class of integrable systems related to Painleve VI.
Contribution
It presents a novel coupled Painleve VI system with E_6^{(1)} symmetry, characterized as a sixth-order Hamiltonian system.
Findings
New coupled Painleve VI system with E_6^{(1)} symmetry
Expressed as a sixth-order Hamiltonian system
Expands integrable systems related to Painleve equations
Abstract
We present an new system of ordinary differential equations with affine Weyl group symmetry of type E_6^{(1)}. This system is expressed as a Hamiltonian system of sixth order with a coupled Painleve VI Hamiltonian.
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Taxonomy
TopicsNonlinear Waves and Solitons · Molecular spectroscopy and chirality · Advanced Algebra and Geometry