Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions

By Gino Biondini, G. Kovačič. 2014

290 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/adfc6f89ed7eda1bf8a813d4b2f7722e5b292e28

How researchers see this paper

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

In Mathematical Physics

1. Deniz Bilman
2. Peter D. Miller
3. Dionyssios Mantzavinos
4. Xu‐Dan Luo
5. Mark J. Ablowitz
6. Ziad Musslimani
7. Gino Biondini

In Statistical and Nonlinear Physics

1. Xu‐Dan Luo
2. Ziad Musslimani
3. Mark J. Ablowitz
4. Deniz Bilman
5. Peter D. Miller
6. Dionyssios Mantzavinos
7. Gino Biondini
8. Dmitry Shepelsky

Citations in the corpus

• Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability (2015, methodology): “1) with nonzero boundary conditions, without making use of the uniformization variable employed in [12].”
• Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions (2016, methodology): “Before discussing the properties of scattering data and solving the inverse problem, we introduce a uniformization variable z see also [14]), defined by the conformal mapping: (4.”
• Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data (2021, unknown): “, [11, 12, 13, 14, 20, 29, 35].”
• A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation (2017, methodology): “I t / ! 1 as ! 1 in C; C respectively [8].”