Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations

Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation

(2021) Guoqiang Zhang et al.   CHAOS

Multi-soliton solutions of the N-component nonlinear Schrödinger equations via Riemann–Hilbert approach

(2021) Yan Li et al.   NONLINEAR DYNAMICS

Inverse scattering transform for the Gerdjikov–Ivanov equation with nonzero boundary conditions

(2020) Zechuan Zhang et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

∂̄-dressing method for the coupled Gerdjikov–Ivanov equation

(2020) Jinghua Luo et al.   APPLIED MATHEMATICS LETTERS

Riemann–Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions

(2020) Yiling Yang et al.   PHYSICA D-NONLINEAR PHENOMENA

A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation

(2019) Deniz Bilman et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons

(2019) Shuyan Chen et al.   PHYSICS LETTERS A

Riemann–Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

(2019) Wei-Qi Peng et al.   JOURNAL OF GEOMETRY AND PHYSICS

Rogue periodic waves of the focusing nonlinear Schrödinger equation

(2018) Jinbing Chen et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics

(2018) Guoqiang Zhang et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation

(2018) Tao Xu et al.   PHYSICA D-NONLINEAR PHENOMENA

Existence of Global Solutions to the Derivative NLS Equation with the Inverse Scattering Transform Method

(2017) Dmitry E. Pelinovsky et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Riemann–Hilbert approach and N-soliton solutions for a generalized Sasa–Satsuma equation

(2016) Xianguo Geng et al.   WAVE MOTION

Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations

(2015) Liming Ling et al.   NONLINEARITY

Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation

(2012) Boling Guo et al.   JOURNAL OF MATHEMATICAL PHYSICS

New derivation of soliton solutions to the AKNS2system via dressing transformation methods

(2012) A de O Assunção et al.   Journal of Physics A-Mathematical and Theoretical

Localized nonlinear waves in a two-mode nonlinear fiber

(2012) Li-Chen Zhao et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger Equations

(2011) Bo-Ling Guo et al.   CHINESE PHYSICS LETTERS

Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions

(2011) C Kalla   Journal of Physics A-Mathematical and Theoretical

Vector financial rogue waves

(2011) Zhenya Yan   PHYSICS LETTERS A

General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations

(2011) Yasuhiro Ohta et al.   STUDIES IN APPLIED MATHEMATICS

Financial Rogue Waves

(2010) Zhen-Ya Yan   COMMUNICATIONS IN THEORETICAL PHYSICS

Integrable properties of the general coupled nonlinear Schrödinger equations

(2010) Deng-Shan Wang et al.   JOURNAL OF MATHEMATICAL PHYSICS

The inverse scattering transform and squared eigenfunctions for a degenerate 3 × 3 operator

(2009) D J Kaup et al.   INVERSE PROBLEMS

Squared eigenfunctions for the Sasa–Satsuma equation

(2009) Jianke Yang et al.   JOURNAL OF MATHEMATICAL PHYSICS

Bright-dark solitons and their collisions in mixedN-coupled nonlinear Schrödinger equations

(2008) M. Vijayajayanthi et al.   PHYSICAL REVIEW A