The vector nonlinear Schrödinger hierarchy

DOI10.1016/j.physd.2007.03.006zbMath1115.35128OpenAlexW2009707344MaRDI QIDQ882316

J. N. Elgin, Oliver H. Warren

Publication date: 23 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.physd.2007.03.006

zbMATH Keywords

zero-curvature representationsfinite gap solutionsconserved densitiesvector NLS equation

Mathematics Subject Classification ID

Related Items (7)

The Riemann-Hilbert approach to the generating function of the higher order Airy point processes ⋮ Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative ⋮ Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel ⋮ A Riemann Hilbert approach to the study of the generating function associated to the Pearcey process ⋮ The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws ⋮ Algebro-geometric solutions to the Manakov hierarchy ⋮ An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation

Cites Work

• Effective integration of the nonlinear vector Schrödinger equation
• Closure of the Manakov System
• Genus 4 trigonal reduction of the Benney equations
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