Characteristic properties of the scattering data for the mKdV equation on the half-line

DOI10.1007/s00220-004-1206-4zbMath1103.37044arXivmath/0307191OpenAlexW2054223391MaRDI QIDQ852098

Vladimir P. Kotlyarov, Anne Boutet de Monvel-Berthier

Publication date: 27 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307191

zbMATH Keywords

eigenvalue problemmodified Korteweg-de Vries equationscattering problemZakharov-Shabat systeminitial-boundary value problems on the half-lineMarchenko integral equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (2)

Integrable boundary value problems for elliptic type Toda lattice in a disk ⋮ \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP

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