On the compatibility condition for linear systems and a factorization formula for wave functions

DOI10.1016/j.jde.2011.11.001zbMath1232.35032OpenAlexW2041167300MaRDI QIDQ664743

Alexander L. Sakhnovich

Publication date: 2 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.11.001

zbMATH Keywords

initial-boundary value problemfundamental solutionfactorizationwave functioncompatibilityintegrable equationinverse spectral transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

Related Items (5)

Initial value problems for integrable systems on a semi-strip ⋮ Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems ⋮ Evolution of Weyl Functions and Initial-Boundary Value Problems ⋮ Nonlinear Schrödinger equation in a semi-strip: evolution of the Weyl-Titchmarsh function and recovery of the initial condition and rectangular matrix solutions from the boundary conditions ⋮ GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS

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