Genus-zero Whitham hierarchies in conformal-map dynamics

DOI10.1016/j.physletb.2006.08.082zbMath1248.37066arXivnlin/0609037OpenAlexW2205703468MaRDI QIDQ712855

Elena Medina, Luis Martínez-Alonso

Publication date: 18 October 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0609037

zbMATH Keywords

conformal mapsnormal matrix modelsWhitham hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General theory of conformal mappings (30C35) Conformal mappings of special domains (30C20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (4)

Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé-I equation ⋮ Conformal mappings and dispersionless Toda hierarchy. II: General string equations ⋮ Kernel formula approach to the universal Whitham hierarchy ⋮ Conformal mappings and dispersionless Toda hierarchy

Cites Work

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• Exact solutions of integrable 2D contour dynamics
• Normal random matrix ensemble as a growth problem
• Laplacian growth and Whitham equations of soliton theory
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
• Quadrature Domains and Fluid Dynamics
• Conformal maps and integrable hierarchies

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