Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions

By B. Prinari, Mark J. Ablowitz, Gino Biondini. 2006

168 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6241a7c4ca481f5c15c22c1fa5fb3564e6681dd9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Xu‐Dan Luo
2. B. Feng
3. Ziad Musslimani
4. Liming Ling
5. Mark J. Ablowitz
6. B. Guo
7. Li-Chen Zhao
8. Dmitry Shepelsky

In Statistical and Nonlinear Physics

1. B. Feng
2. Liming Ling
3. Xu‐Dan Luo
4. Ziad Musslimani
5. Mark J. Ablowitz
6. B. Guo
7. Li-Chen Zhao
8. Dmitry Shepelsky

Citations in the corpus

• Darboux transformation and multi-dark soliton for N-component nonlinear Schrödinger equations (2013, methodology): “In 2006, Abolowitz et al solved this problem with the special background [26].”
• General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions (2017, methodology): “It has been known that that the inverse scattering transform (IST) has been successfully developed for the NLS, coupled NLS, as well as their semi-discrete analogues [60]–[70].”