From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems
DOI10.1111/sapm.12547arXiv2109.11684MaRDI QIDQ6148573
Cornelis V. M. van der Mee, Francesco Demontis
Publication date: 7 February 2024
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.11684
nonlinear Schrödinger equationMiura transformationmatrix triplet methodnonvanishing boundary conditions
Asymptotic behavior of solutions to PDEs (35B40) 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) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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