Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler–Poisson–Darboux equation

DOI10.1088/1751-8113/43/43/434020zbMath1209.37078arXiv1003.2892OpenAlexW1980987993MaRDI QIDQ3057434

B. G. Konopelchenko, Elena Medina, Luis Martínez-Alonso

Publication date: 24 November 2010

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

Full work available at URL: https://arxiv.org/abs/1003.2892

zbMATH Keywords

Euler-Poisson-Darboux equationRiemann invariantshodograph equationsDimensionless coupled KdV hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

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Asymptotics to all orders of the Euler-Darboux equation in a triangle ⋮ Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter ⋮ Confluence of hypergeometric functions and integrable hydrodynamic-type systems ⋮ On the plane into plane mappings of hydrodynamic type. Parabolic case ⋮ On universality of homogeneous Euler equation

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