Dispersionless limit of Hirota equations in some problems of complex analysis

DOI10.1023/A:1012883123413zbMath1029.37048arXivmath/0104169OpenAlexW1499047964MaRDI QIDQ1417268

Anton V. Zabrodin

Publication date: 4 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0104169

zbMATH Keywords

Hirota equationsintegrable hierarchyDirichlet boundary problemtau-functionsdispersionless limit2D inverse potential problemconformal mapping problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Boundary value problems in the complex plane (30E25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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