Confluence of hypergeometric functions and integrable hydrodynamic-type systems

DOI10.1134/S0040577916090051zbMath1351.35142arXiv1510.01540MaRDI QIDQ2520104

Yuji Kodama, B. G. Konopelchenko

Publication date: 13 December 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01540

zbMATH Keywords

confluenceintegrable systemLauricella function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (12)

Kinetic equation for soliton gas: integrable reductions ⋮ Multi-dimensional Jordan chain and Navier-Stokes equation ⋮ Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas ⋮ Three dimensional reductions of four-dimensional quasilinear systems ⋮ Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds ⋮ Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain ⋮ Integrability of exceptional hydrodynamic-type systems ⋮ On the plane into plane mappings of hydrodynamic type. Parabolic case ⋮ Note on algebro-geometric solutions to triangular Schlesinger systems ⋮ Quasilinear systems of Jordan block type and the mKP hierarchy ⋮ On universality of homogeneous Euler equation ⋮ Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems

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