Numerical inverse scattering transform for the focusing and defocusing Kundu-Eckhaus equations
From MaRDI portal
Publication:6096520
DOI10.1016/j.physd.2023.133838OpenAlexW4384207850MaRDI QIDQ6096520
Publication date: 12 September 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2023.133838
Cites Work
- Unnamed Item
- Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations
- A general framework for solving Riemann-Hilbert problems numerically
- On \(N\)th-order rogue wave solution to the generalized nonlinear Schrödinger equation
- Numerical inverse scattering for the Toda lattice
- Numerical solution of Riemann-Hilbert problems: Painlevé II
- Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
- The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation
- Numerical inverse scattering for the sine-Gordon equation
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Computing the Hilbert transform and its inverse
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Structure of a quantized vortex in boson systems
- Nonlinear evolution equations, rescalings, model PDES and their integrability: I
- Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
- Method for Solving the Korteweg-deVries Equation
- Scattering and inverse scattering for the AKNS system: A rational function approach
- Numerical inverse scattering for the focusing and defocusing nonlinear Schrödinger equations
- Nonlinear Steepest Descent and Numerical Solution of Riemann‐Hilbert Problems
- Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method