Expansions over the 'squared' solutions and the inhomogeneous nonlinear Schrodinger equation

DOI10.1088/0266-5611/8/6/004zbMath0766.35050OpenAlexW2036263194MaRDI QIDQ4036218

Maxim I. Ivanov, Vladimir S. Gerdjikov

Publication date: 16 May 1993

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/8/6/004

zbMATH Keywords

integrabilityLax representationZakharov-Shabat systemvanishing boundary conditions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

The generalized Zakharov-Shabat system and the soliton perturbations ⋮ On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation ⋮ Highly dispersive optical solitons of an equation with arbitrary refractive index ⋮ Equations of the Camassa-Holm hierarchy