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

The Maccari system as model system for rogue waves

(2020) Attilio Maccari   PHYSICS LETTERS A

The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures

(2019) Guoqiang Zhang et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Characteristics and interactions of solitary and lump waves of a (2 + 1)-dimensional coupled nonlinear partial differential equation

(2019) Bo Ren et al.   NONLINEAR DYNAMICS

Dynamics and interaction scenarios of localized wave structures in the Kadomtsev–Petviashvili-based system

(2019) Jiguang Rao et al.   APPLIED MATHEMATICS LETTERS

PT-symmetric nonlocal Davey–Stewartson I equation: Soliton solutions with nonzero background

(2019) Jiguang Rao et al.   PHYSICA D-NONLINEAR PHENOMENA

N-soliton and rogue wave solutions of (2+1)-dimensional integrable system with Lax pair

(2019) Asma Issasfa et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Semi-rational solutions for the (2+1)-dimensional nonlocal Fokas system

(2018) Yulei Cao et al.   APPLIED MATHEMATICS LETTERS

Reductions of Darboux transformations for the PT-symmetric nonlocal Davey–Stewartson equations

(2018) Bo Yang et al.   APPLIED MATHEMATICS LETTERS

Two (2+1)-dimensional integrable nonlocal nonlinear Schrödinger equations: Breather, rational and semi-rational solutions

(2018) Yulei Cao et al.   CHAOS SOLITONS & FRACTALS

General soliton solutions to a nonlocal long-wave–short-wave resonance interaction equation with nonzero boundary condition

(2018) Baonan Sun   NONLINEAR DYNAMICS

Krein signature for instability of PT-symmetric states

(2018) Alexander Chernyavsky et al.   PHYSICA D-NONLINEAR PHENOMENA

Darboux Transformations and Global Explicit Solutions for Nonlocal Davey-Stewartson I Equation

(2018) Zi-Xiang Zhou   STUDIES IN APPLIED MATHEMATICS

Families of nonsingular soliton solutions of a nonlocal Schrödinger–Boussinesq equation

(2018) Ying Shi et al.   NONLINEAR DYNAMICS

Bright and dark soliton solutions to the partial reverse space–time nonlocal Mel’nikov equation

(2018) Wei Liu et al.   NONLINEAR DYNAMICS

Rogue waves of the nonlocal Davey–Stewartson I equation

(2018) Jiguang Rao et al.   NONLINEARITY

The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation

(2018) Yongshuai Zhang et al.   CHAOS

Rational and semi-rational solutions of the Kadomtsev–Petviashvili-based system

(2018) Yongshuai Zhang et al.   NONLINEAR DYNAMICS

General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

(2018) Bao-Feng Feng et al.   NONLINEARITY

Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrödinger equations

(2017) Guoqiang Zhang et al.   EPL

Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation

(2017) Li-Yuan Ma et al.   JOURNAL OF MATHEMATICAL PHYSICS

Complete integrability of nonlocal nonlinear Schrödinger equation

(2017) V. S. Gerdjikov et al.   JOURNAL OF MATHEMATICAL PHYSICS

Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems

(2017) Shihua Chen et al.   Journal of Physics A-Mathematical and Theoretical

Rational and Semirational Solutions of the Nonlocal Davey-Stewartson Equations

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

Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential

(2016) Xiao-Yong Wen et al.   CHAOS

Rogue Waves in the Three-Dimensional Kadomtsev—Petviashvili Equation

(2016) Chao Qian et al.   CHINESE PHYSICS LETTERS

Nonlocal nonlinear Schrödinger equation and its discrete version: Soliton solutions and gauge equivalence

(2016) Li-Yuan Ma et al.   JOURNAL OF MATHEMATICAL PHYSICS

Dynamic patterns of high-order rogue waves for Sasa–Satsuma equation

(2016) Gui Mu et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

(2016) A S Fokas   NONLINEARITY

Nonlinear waves inPT-symmetric systems

(2016) Vladimir V. Konotop et al.   REVIEWS OF MODERN PHYSICS

Integrable Nonlocal Nonlinear Equations

(2016) Mark J. Ablowitz et al.   STUDIES IN APPLIED MATHEMATICS

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

Rational Solutions for the Fokas System

(2015) Ji-Guang Rao et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Dark and antidark soliton interactions in the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential

(2015) Min Li et al.   PHYSICAL REVIEW E

Rational solutions to two- and one-dimensional multicomponent Yajima–Oikawa systems

(2015) Junchao Chen et al.   PHYSICS LETTERS A

Nonlinear modes in a generalized $\mathcal{PT}$-symmetric discrete nonlinear Schrödinger equation

(2014) D E Pelinovsky et al.   Journal of Physics A-Mathematical and Theoretical

Instabilities, breathers and rogue waves in optics

(2014) John M. Dudley et al.   Nature Photonics

Continuous and discrete Schrödinger systems with parity-time-symmetric nonlinearities

(2014) Amarendra K. Sarma et al.   PHYSICAL REVIEW E

Single-mode laser by parity-time symmetry breaking

(2014) L. Feng et al.   SCIENCE

Dynamics of an integrable Kadomtsev–Petviashvili-based system

(2013) Hui-Ling Zhen et al.   APPLIED MATHEMATICS LETTERS

Dynamics of rogue waves in the Davey–Stewartson II equation

(2013) Yasuhiro Ohta et al.   Journal of Physics A-Mathematical and Theoretical

Nonlinear dynamics in PT-symmetric lattices

(2013) Panayotis G Kevrekidis et al.   Journal of Physics A-Mathematical and Theoretical

Rational solitons of wave resonant-interaction models

(2013) Antonio Degasperis et al.   PHYSICAL REVIEW E

Generating mechanism for higher-order rogue waves

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

Integrable Nonlocal Nonlinear Schrödinger Equation

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

Nonlinear Stationary States in PT-Symmetric Lattices

(2013) Panayotis G. Kevrekidis et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Parity–time synthetic photonic lattices

(2012) Alois Regensburger et al.   NATURE

Abundant soliton and periodic wave solutions for the coupled Higgs field equation, the Maccari system and the Hirota–Maccari system

(2012) Abdul-Majid Wazwaz   PHYSICA SCRIPTA

Rogue waves in the Davey-Stewartson I equation

(2012) Yasuhiro Ohta et al.   PHYSICAL REVIEW E

N-order bright and dark rogue waves in a resonant erbium-doped fiber system

(2012) Jingsong He 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

General high-order rogue waves and their dynamics in the nonlinear Schrodinger equation

(2012) Y. Ohta et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

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

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

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

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

Three-dimensional rogue waves in nonstationary parabolic potentials

(2010) Zhenya Yan et al.   PHYSICAL REVIEW E

The Davey-Stewartson Equation on the Half-Plane

(2009) A. S. Fokas   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Rogue waves and rational solutions of the nonlinear Schrödinger equation

(2009) Nail Akhmediev et al.   PHYSICAL REVIEW E

Non-Gaussian Statistics and Extreme Waves in a Nonlinear Optical Cavity

(2009) A. Montina et al.   PHYSICAL REVIEW LETTERS

Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients

(2009) Zhenya Yan   PHYSICS LETTERS A

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

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