A spectral theory for simply periodic solutions of the Sinh-Gordon equation

DOI10.1007/978-3-030-01276-2zbMath1410.35002arXiv1607.08792OpenAlexW2477923980MaRDI QIDQ1991076

Sebastian Klein

Publication date: 29 October 2018

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08792

zbMATH Keywords

asymptotic of the monodromyinverse problem for Cauchy dataJacobi variety of the spectral curve

Mathematics Subject Classification ID

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) General topics in linear spectral theory for PDEs (35P05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Convergence and divergence of infinite products (40A20)

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