Half-solitons as solutions to the Zakharov-Shabat eigenvalue problem for rational reflection coefficient. II. Potentials on infinite support

DOI10.1063/1.530617zbMath0803.35138OpenAlexW1965035162MaRDI QIDQ4298597

David E. Rourke, John K. Saunders

Publication date: 8 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530617

zbMATH Keywords

cubic nonlinear Schrödinger equationZakharov-Shabat eigenvalue problemsoliton-lattice algorithm

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Spectral resolution and inversion of the Bloch equations with relaxation ⋮ Exact solution of the Zakharov-Shabat scattering problem for doubly-truncated multisoliton potentials ⋮ Nonlinear Fourier transform of time-limited and one-sided signals

Cites Work

• On the zeros and poles of Padé approximants to \(e^z\)
• The One-Dimensional Inverse Problem of Reflection Seismology
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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