Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation

N-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann–Hilbert method and PINN algorithm

(2022) Wei-Qi Peng et al.   PHYSICA D-NONLINEAR PHENOMENA

Dynamic behaviors of general N-solitons for the nonlocal generalized nonlinear Schrödinger equation

(2021) Minmin Wang et al.   NONLINEAR DYNAMICS

Rogue waves and lumps on the nonzero background in the ‐symmetric nonlocal Maccari system

(2021) Yulei Cao et al.   STUDIES IN APPLIED MATHEMATICS

多分量非线性可积系统中的奇异局域矢量波

(2021) Xiubin Wang et al.   Scientia Sinica Mathematica

PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background

(2021) Wei-Qi Peng et al.   Communications in Nonlinear Science and Numerical Simulation

Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

(2021) Huijuan Zhou et al.   NONLINEAR DYNAMICS

Riemann–Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies

(2021) Wen-Xiu Ma   PHYSICA D-NONLINEAR PHENOMENA

Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations

(2020) Wen-Xiu Ma   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Integrable nonlocal Hirota equations

(2019) Julia Cen et al.   JOURNAL OF MATHEMATICAL PHYSICS

Nonintegrable spatial discrete nonlocal nonlinear schrödinger equation

(2019) Jia-Liang Ji et al.   CHAOS

Rogue waves in the nonlocal PT-symmetric nonlinear Schrödinger equation

(2018) Bo Yang et al.   LETTERS IN MATHEMATICAL PHYSICS

Rational and Semirational Solutions of the Nonlocal Davey-Stewartson Equations

(2017) J. Rao et al.   STUDIES IN APPLIED MATHEMATICS

Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems

(2017) S. Y. Lou et al.   Scientific Reports

Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

(2016) A S Fokas   NONLINEARITY

Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

(2016) Mark J Ablowitz et al.   NONLINEARITY

Soliton solutions for the nonlocal nonlinear Schrödinger equation

(2016) Xin Huang et al.   European Physical Journal Plus

Integrable PT-symmetric local and nonlocal vector nonlinear Schrödinger equations: A unified two-parameter model

(2015) Zhenya Yan   APPLIED MATHEMATICS LETTERS

Darboux Transformation of the Second-Type Derivative Nonlinear Schrödinger Equation

(2015) Yongshuai Zhang et al.   LETTERS IN MATHEMATICAL PHYSICS

Coupled oscillator systems having partialPTsymmetry

(2015) Alireza Beygi et al.   PHYSICAL REVIEW A

Topological States in Partially-PT-Symmetric Azimuthal Potentials

(2015) Yaroslav V. Kartashov et al.   PHYSICAL REVIEW LETTERS

Dynamics of Rogue Waves on a Multisoliton Background in a Vector Nonlinear Schrödinger Equation

(2015) Gui Mu et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

General rogue waves in the focusing and defocusing Ablowitz–Ladik equations

(2014) Yasuhiro Ohta et al.   Journal of Physics A-Mathematical and Theoretical

Partially PT symmetric optical potentials with all-real spectra and soliton families in multidimensions

(2014) Jianke Yang   OPTICS LETTERS

Integrable discretePTsymmetric model

(2014) Mark J. Ablowitz et al.   PHYSICAL REVIEW E

Observation of PT phase transition in a simple mechanical system

(2013) Carl M. Bender et al.   AMERICAN JOURNAL OF PHYSICS

Multi-rogue waves solutions: from the NLS to the KP-I equation

(2013) P Dubard et al.   NONLINEARITY

Rogue Waves Emerging from the Resonant Interaction of Three Waves

(2013) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Integrable Nonlocal Nonlinear Schrödinger Equation

(2013) Mark J. Ablowitz et al.   PHYSICAL REVIEW LETTERS

Dynamics of nonautonomous rogue waves in Bose–Einstein condensate

(2012) Li-Chen Zhao   ANNALS OF PHYSICS

Model of aPT-symmetric Bose-Einstein condensate in aδ-function double-well potential

(2012) Holger Cartarius et al.   PHYSICAL REVIEW A

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

(2012) Boling Guo et al.   PHYSICAL REVIEW E

High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations

(2012) Boling Guo et al.   STUDIES IN APPLIED MATHEMATICS

Surface plasma rogue waves

(2011) W. M. Moslem et al.   EPL

The Darboux transformation of the derivative nonlinear Schrödinger equation

(2011) Shuwei Xu et al.   Journal of Physics A-Mathematical and Theoretical

Experimental study of activeLRCcircuits withPTsymmetries

(2011) Joseph Schindler et al.   PHYSICAL REVIEW A

Circular rogue wave clusters

(2011) David J. Kedziora et al.   PHYSICAL REVIEW E

Financial Rogue Waves

(2010) Zhen-Ya Yan   COMMUNICATIONS IN THEORETICAL PHYSICS

Rogue waves, rational solutions, the patterns of their zeros and integral relations

(2010) Adrian Ankiewicz et al.   Journal of Physics A-Mathematical and Theoretical

The Peregrine soliton in nonlinear fibre optics

(2010) B. Kibler et al.   Nature Physics

Rogue waves and rational solutions of the Hirota equation

(2010) Adrian Ankiewicz et al.   PHYSICAL REVIEW E

Rogue waves and rational solutions of the nonlinear Schrödinger equation

(2009) Nail Akhmediev et al.   PHYSICAL REVIEW E

Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium

(2008) A. N. Ganshin et al.   PHYSICAL REVIEW LETTERS

Waves that appear from nowhere and disappear without a trace

(2008) N. Akhmediev et al.   PHYSICS LETTERS A