On the factorization formula for fundamental solutions in the inverse spectral transform

Abstract

A factorization formula for wave functions, which is basic in the inverse spectral transform approach to initial-boundary value problems, is proved in greater generality than before. Applications follow. Related compatibility questions for the GBDT version of Bäcklund-Darboux transformation are treated too.

References in corpus (2)

• Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
• Sine-Gordon theory in a semi-strip

Cited by in corpus (4)

• Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems
• Einstein, $\sigma$-model and Ernst-type equations and non-isospectral GBDT version of Darboux transformation
• Initial Value Problems for Integrable Systems on a Semi-Strip
• Weyl functions and the boundary value problem for a matrix nonlinear Schrödinger equation on a semi-strip