Rogue wave patterns in the nonlinear Schrödinger equation

Waves that Appear From Nowhere: Complex Rogue Wave Structures and Their Elementary Particles

(2021) Nail Akhmediev   Frontiers in Physics

Rogue Waves in the Generalized Derivative Nonlinear Schrödinger Equations

(2020) Bo Yang et al.   JOURNAL OF NONLINEAR SCIENCE

Dynamics of localized wave solutions for the coupled Higgs field equation

(2020) Zhaqilao   NONLINEAR DYNAMICS

Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics

(2018) Guoqiang Zhang et al.   PHYSICA D-NONLINEAR PHENOMENA

Hankel Determinant Approach to Generalized Vorob’ev–Yablonski Polynomials and Their Roots

(2016) Ferenc Balogh et al.   CONSTRUCTIVE APPROXIMATION

High-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II

(2016) Li-Chen Zhao et al.   JOURNAL OF MATHEMATICAL PHYSICS

Optical Dark Rogue Wave

(2016) Benoit Frisquet et al.   Scientific Reports

Vector rogue waves in the Manakov system: diversity and compossibility

(2015) Shihua Chen et al.   Journal of Physics A-Mathematical and Theoretical

Watch-hand-like optical rogue waves in three-wave interactions

(2015) Shihua Chen et al.   OPTICS EXPRESS

Higher-order rogue wave solutions of the three-wave resonant interaction equation via the generalized Darboux transformation

(2015) Xin Wang et al.   PHYSICA SCRIPTA

Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour

(2014) Robert J Buckingham et al.   NONLINEARITY

High-order rogue waves in vector nonlinear Schrödinger equations

(2014) Liming Ling et al.   PHYSICAL REVIEW E

Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

(2014) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I

(2013) Marco Bertola et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Rational solitons of wave resonant-interaction models

(2013) Antonio Degasperis et al.   PHYSICAL REVIEW E

Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions

(2013) David J. Kedziora et al.   PHYSICAL REVIEW E

Generating mechanism for higher-order rogue waves

(2013) J. S. He et al.   PHYSICAL REVIEW E

Rogue Waves Emerging from the Resonant Interaction of Three Waves

(2013) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

The sine-Gordon equation in the Semiclassical limit: Critical behavior near a separatrix

(2012) Robert J. Buckingham et al.   JOURNAL D ANALYSE MATHEMATIQUE

Observation of a hierarchy of up to fifth-order rogue waves in a water tank

(2012) A. Chabchoub et al.   PHYSICAL REVIEW E

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

(2012) Boling Guo et al.   PHYSICAL REVIEW E

Solutions of the Vector Nonlinear Schrödinger Equations: Evidence for Deterministic Rogue Waves

(2012) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

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

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

The Darboux transformation of the derivative nonlinear Schrödinger equation

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

Circular rogue wave clusters

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

Rogue Wave Observation in a Water Wave Tank

(2011) A. Chabchoub et al.   PHYSICAL REVIEW LETTERS

Observation of Peregrine Solitons in a Multicomponent Plasma with Negative Ions

(2011) H. Bailung et al.   PHYSICAL REVIEW LETTERS

Rogue wave triplets

(2011) Adrian Ankiewicz et al.   PHYSICS LETTERS A

On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation

(2010) P. Dubard et al.   European Physical Journal-Special Topics

The Peregrine soliton in nonlinear fibre optics

(2010) B. Kibler et al.   Nature Physics

Rogue waves and rational solutions of the nonlinear Schrödinger equation

(2009) Nail Akhmediev et al.   PHYSICAL REVIEW E

Oceanic Rogue Waves

(2008) Kristian Dysthe et al.   Annual Review of Fluid Mechanics