Löwner equations and dispersionless hierarchies

DOI10.1088/0305-4470/39/37/010zbMath1104.37046arXivmath/0605161OpenAlexW3103414809MaRDI QIDQ5492709

Takashi Takebe, Lee-Peng Teo, Anton V. Zabrodin

Publication date: 16 October 2006

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

Full work available at URL: https://arxiv.org/abs/math/0605161

zbMATH Keywords

Toda hierarchyLöwner equationdKP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Conformal mappings of special domains (30C20) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (14)

Löwner equations and reductions of dispersionless hierarchies ⋮ Non-homogeneous systems of hydrodynamic type possessing Lax representations ⋮ Modulus of continuity of controlled Loewner-Kufarev equations and random matrices ⋮ Remarks on the Waterbag Model of Dispersionless Toda Hierarchy ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Value Regions in Classes of Conformal Mappings ⋮ Growth processes related to the dispersionless Lax equations ⋮ Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy ⋮ Löwner evolution and finite-dimensional reductions of integrable systems ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation ⋮ Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation ⋮ A note on reductions of the dispersionless Toda hierarchy ⋮ Classical and Stochastic Löwner–Kufarev Equations

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