Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions
By Mark J. Ablowitz, Gino Biondini, B. Prinari. 2007
453 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e9ffa09ac796bb2c75ea6511f45a61641ff494f8
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In Atomic and Molecular Physics, and Optics
- Dmitry Shepelsky
- Yan Rybalko
- Bo Yang
- Yong Chen
- Ziad Musslimani
- Mark J. Ablowitz
- Jianke Yang
- Xu‐Dan Luo
In Statistical and Nonlinear Physics
- Dmitry Shepelsky
- Yan Rybalko
- Bo Yang
- Yong Chen
- Ziad Musslimani
- Mark J. Ablowitz
- Jianke Yang
- Xu‐Dan Luo
Citations in the corpus
- Integrable Nonlocal Nonlinear Equations (2016, methodology): “In [14, 22], it was shown that a “natural” approach to solve th inverse problem associated with the nonlocal NLS equation (2) is to formulat e two separate RH problems: one for x < 0 (left) and one atx > 0 (right) then use the appropriate (nonlocal) symmetries between the eigenfunctions to re duc th”
- Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data (2021, methodology): “In [6] the authors presented the Inverse Scattering Transform (IST) method to the study of the Cauchy problem for equation (1.”
- High-order soliton matrices for Sasa–Satsuma equation via local Riemann–Hilbert problem (2019, methodology): “Recently, a detailed study of the inverse scattering theory for the integrable nonlocal NLS equation is presented using a new left–right Riemann–Hilbert problem and the Cauchy problem is formulated [32,33].”