A Symmetric System of Mixed Painleve III - V Equations and its Integrable Origin

Abstract

A mixed symmetric Painleve III - V model which describes a hybrid of both equations is defined and obtained by successive self-similarity and Dirac Lagrange multiplier reductions from an integrable 4-boson hierarchy.

22 pages, 1 figure, to appear in J. Phys. A

References in corpus (4)

• Affine Weyl group approach to Painlevé equations
• New Transformations for Painlevé's Third Transcendent
• On the mKdV-Liouville hierarchy and its self-similarity reduction
• Integrable Origins of Higher Order Painleve Equations

Cited by in corpus (7)

• Gauge Symmetry Origin of Bäcklund Transformations for Painlevé Equations
• On special limits of the Mixed Painlevé P${}_{\mathbf{III}-\mathbf{V}}$ Model
• Coalescence, Deformation and Bäcklund Symmetries of Painlevé IV and II Equations
• Symmetries and hamiltonians of Ince's XXXVIII and XLIX equations
• On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity
• Solutions of Mixed Painlevé P${}_{\mathbf{III}-\mathbf{V}}$ Model
• Nonhomogeneous Dispersive Water Waves and Painlevé equations