Integrability of the Zakharov-Shabat systems by quadrature
DOI10.1007/s00220-022-04610-8zbMath1514.35417arXiv2107.12040OpenAlexW3186507476MaRDI QIDQ6038756
Publication date: 3 May 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.12040
inverse scattering transformintegrabilitydifferential Galois theoryZakharov-Shabat systemseigenvalue problems for linear systems of ordinary differential equations
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) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Boundary eigenvalue problems for ordinary differential equations (34B09) Soliton solutions (35C08)
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