On construction of solutions of evolutionary nonlinear Schrödinger equation
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Publication:2019136
DOI10.1155/2014/830413zbMath1311.35296arXiv1209.0179OpenAlexW3098488175WikidataQ59051895 ScholiaQ59051895MaRDI QIDQ2019136
Publication date: 27 March 2015
Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.0179
NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (6)
Solution of the Korteweg-de Vries equation on the line with analytic initial potential ⋮ Classification of KdV vessels with constant parameters and two dimensional outer space ⋮ Construction of a Sturm-Liouville vessel using Gelfand-Levitan theory. On solution of the Korteweg-de Vries equation in the first quadrant ⋮ Solitonic combinations, commuting nonselfadjoint operators, and applications ⋮ Solution of the Boussinesq equation using evolutionary vessels ⋮ Inverse scattering of canonical systems and their evolution
Cites Work
- Finite-dimensional Sturm-Liouville vessels and their tau functions
- A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction
- Errata to: Two-sided tangential interpolation of real rational matrix functions
- Schur algorithm in the class \({\mathcal{SI}}\) of \(J\)-contractive functions intertwining solutions of linear differential equations
- Null/pole interpolation problem in the class \(\mathcal {RI}\) of rational functions intertwining solutions of linear differential equations
- Solution of the Korteweg-de Vries equation on the line with analytic initial potential
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