Eigenvalues of the Zakharov-Shabat scattering problem for two separated sech-shaped pulses

DOI10.1016/j.physleta.2007.11.060zbMath1220.81085OpenAlexW1987956032MaRDI QIDQ637319

M. Desaix, Dan Anderson, Mietek Lisak

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.11.060

zbMATH Keywords

separating solitonsZakharov-Shabat

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) (2)-body potential quantum scattering theory (81U05)

Related Items (4)

Solitons of two-component Bose-Einstein condensates modulated in space and time ⋮ Integrability of a general Gross-Pitaevskii equation and exact solitonic solutions of a Bose-Einstein condensate in a periodic potential ⋮ Complex eigenvalue splitting for the Dirac operator ⋮ Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series

Cites Work

• Unnamed Item
• Variationally obtained approximate eigenvalues of the Zakharov-Shabat scattering problem for real potentials.
• On the Eigenvalues of Zakharov--Shabat Systems
• Variational principle for the Zakharov-Shabat equations

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