Strong regularizing effect of integrable systems

DOI10.1080/03605309708821272zbMath0952.35125OpenAlexW2141766250MaRDI QIDQ4340665

Xin Zhou

Publication date: 4 January 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821272

zbMATH Keywords

nonlinear Schrödinger equationRiemann-Hilbert problemsregularizing effects

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

Long-time asymptotics for the pure radiation solution of the sine—gordon equation ⋮ The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles ⋮ Perturbation theory for infinite-dimensional integrable systems on the line. A case study ⋮ Soliton Theory and Hankel Operators

Cites Work

• Inverse scattering transform for systems with rational spectral dependence
• Direct and inverse scattering transforms with arbitrary spectral singularities
• GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION
• Direct and inverse scattering on the line with arbitrary singularities
• Scattering and inverse scattering for first order systems
• Classical solutions of the korteweg—devries equation for non—smooth initial data via inverse scattering^*
• Inverse scattering and evolution equations
• Solutions to the Cubic Schrödinger Equation by the Inverse Scattering Method
• An exact solution for a derivative nonlinear Schrödinger equation
• The Riemann–Hilbert Problem and Inverse Scattering

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