ON THE DIRICHLET BOUNDARY PROBLEM AND HIROTA EQUATIONS

DOI10.1007/978-1-4020-3503-6_16zbMath1123.37039arXivhep-th/0305259OpenAlexW2112690226MaRDI QIDQ5424524

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Publication date: 5 November 2007

Published in: Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0305259

zbMATH Keywords

Dirichlet problemintegrabilityintegral representationsmultiply connected domainsHadamard formulaDirichlet Green functionquasiclassical tau-functionsimply connected case

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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