Time-evolution-proof Scattering Data for the Focusing and Defocusing Zakharov-Shabat Systems

DOI10.1080/14029251.2014.905300zbMath1420.35385OpenAlexW2045919144MaRDI QIDQ5230947

Cornelis V. M. van der Mee

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.905300

zbMATH Keywords

nonlinear Schrödinger equationZakharov-Shabat systemcharacterization problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (max. 100)

Nonlinearly bandlimited signals ⋮ Direct scattering of AKNS systems with \(L^2\) potentials

Cites Work

• Characterization of scattering data for the AKNS system
• Direct and inverse scattering for selfadjoint Hamiltonian systems on the line
• Novel formulation of inverse scattering and characterization of scattering data
• Solvability of the direct and inverse problems for the nonlinear Schrödinger equation
• The Modified Korteweg-de Vries Equation
• Operator methods for inverse scattering on the real line
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Exact envelope-soliton solutions of a nonlinear wave equation
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