Soliton Equations and Their Holomorphic Solutions

DOI10.1007/978-3-030-53305-2_22zbMath1479.37077OpenAlexW3096432873MaRDI QIDQ5152783

Andrei Domrin

Publication date: 27 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-53305-2_22

zbMATH Keywords

analytic continuationsoliton equations

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

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• The Riemann problem and matrix-valued potentials with a convergent Baker-Akhiezer function
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Remarks on the local version of the inverse scattering method
• Nevanlinna theory, normal families, and algebraic differential equations
• Meromorphic extension of solutions of soliton equations
• On the divergence of the Kontsevich-Witten series
• Painlevé Tests, Singularity Structure and Integrability
• Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach
• Bäcklund transformations and loop group actions
• Local Inverse Scattering

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