2004/02/10 by Tuncay Aktosun, Vassilis G. Papanicolaou, Vassilis Zisis +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:34A55 #msc:34L25 #msc:34L30
paper · pdf · doi:10.1088/0266-5611/20/4/015
published as Inverse Problems vol 20 (2004) 1267-1280 · 20 pages
arxiv created 2004/02/10 · openalex publication_date 2004/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
A one-dimensional generalized nonlinear Schrödinger equation is considered, and the corresponding inverse scattering problem is analysed when the potential is compactly supported and depends analytically on the wavefunction. The unique recovery of the potential is established from an appropriate set of scattering data.