Dressing of a two-dimensional nontrivial potential

DOI10.1016/0167-2789(95)00160-6zbMath1194.35398OpenAlexW2059259269MaRDI QIDQ992386

F. Pempinelli, M. Boiti, A. K. Pogrebkov

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00160-6

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40)

Related Items

Inverse scattering theory of the heat equation for a perturbed one-soliton potential ⋮ Inverse scattering transform for the perturbed 1-soliton potential of the heat equation ⋮ Towards an inverse scattering theory for two-dimensional nondecaying potentials

Cites Work

• Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation
• The dressing method and nonlocal Riemann-Hilbert problems
• Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Solutions of the KPI equation with smooth initial data
• Properties of solutions of the Kadomtsev–Petviashvili I equation