Lax pair, Darboux transformation, vector rational and semi-rational rogue waves for the three-component coupled Hirota equations in an optical fiber

Collisions between the dark solitons for a nonlinear system in the geophysical fluid

(2018) Xi-Yang Xie et al.   CHAOS SOLITONS & FRACTALS

Three-component nonlinear Schrödinger equations: Modulational instability, N th-order vector rational and semi-rational rogue waves, and dynamics

(2018) Guoqiang Zhang et al.   Communications in Nonlinear Science and Numerical Simulation

Lump solutions to a (2+1)-dimensional extended KP equation

(2018) Solomon Manukure et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Diversity of interaction solutions to the (2+1)-dimensional Ito equation

(2018) Wen-Xiu Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

(2018) Wen-Xiu Ma et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dark solitons for the (2+1)-dimensional Davey–Stewartson-like equations in the electrostatic wave packets

(2018) Xi-Yang Xie et al.   NONLINEAR DYNAMICS

Darboux transformations of integrable couplings and applications

(2018) Wen-Xiu Ma et al.   REVIEWS IN MATHEMATICAL PHYSICS

Abundant Mixed Lump-Soliton Solutions to the BKP Equation

(2018) Jin-Yun Yang et al.   East Asian Journal on Applied Mathematics

Double Wronskian Solutions for a Generalized Nonautonomous Nonlinear Equation in a Nonlinear Inhomogeneous Fiber

(2018) Xi-Yang Xie et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs

(2018) Wen-Xiu Ma   JOURNAL OF GEOMETRY AND PHYSICS

Soliton and breather interactions for a coupled system

(2018) Cui-Cui Ding et al.   European Physical Journal Plus

Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows

(2018) Jing-Jing Su et al.   APPLIED MATHEMATICS LETTERS

Mathematical view with observational/experimental consideration on certain (2+1)-dimensional waves in the cosmic/laboratory dusty plasmas

(2018) Xin-Yi Gao   APPLIED MATHEMATICS LETTERS

Soliton dynamics for a nonintegrable model of light-colloid interactive fluids

(2017) Yu-Jie Feng et al.   NONLINEAR DYNAMICS

Multi-soliton solutions and Breathers for the generalized coupled nonlinear Hirota equations via the Hirota method

(2017) Ting-Ting Jia et al.   SUPERLATTICES AND MICROSTRUCTURES

Integrability, solitons, periodic and travelling waves of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles

(2017) Gao-Fu Deng et al.   European Physical Journal Plus

Solitons, breather and bound waves for a generalized higher-order nonlinear Schrödinger equation in an optical fiber or a planar waveguide

(2017) Zhongzhou Lan et al.   European Physical Journal Plus

Lump and lump-soliton solutions to the $$(2+1)$$ ( 2 + 1 ) -dimensional Ito equation

(2017) Jin-Yun Yang et al.   Analysis and Mathematical Physics

Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Optical Dark Rogue Wave

(2016) Benoit Frisquet et al.   Scientific Reports

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

(2015) Liming Ling et al.   NONLINEARITY

Bäcklund transformation and shock-wave-type solutions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid mechanics

(2015) Xin-Yi Gao   OCEAN ENGINEERING

On achievable rates for long-haul fiber-optic communications

(2015) Tobias Fehenberger et al.   OPTICS EXPRESS

Polarization modulation instability in a Manakov fiber system

(2015) B. Frisquet et al.   PHYSICAL REVIEW A

Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations

(2014) Xin Wang et al.   Chinese Physics B

Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

(2014) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Generalized Darboux transformation and localized waves in coupled Hirota equations

(2014) Xin Wang et al.   WAVE MOTION

Rogue waves in coupled Hirota systems

(2013) Shihua Chen et al.   PHYSICAL REVIEW E

Rational solitons of wave resonant-interaction models

(2013) Antonio Degasperis et al.   PHYSICAL REVIEW E

Rogue-wave solutions of a three-component coupled nonlinear Schrödinger equation

(2013) Li-Chen Zhao et al.   PHYSICAL REVIEW E

Rogue Waves Emerging from the Resonant Interaction of Three Waves

(2013) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

Recent progress in investigating optical rogue waves

(2013) N Akhmediev et al.   Journal of Optics

Possibility of an Akhmediev breather decaying into solitons

(2012) Ch. Mahnke et al.   PHYSICAL REVIEW A

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

Observation of Kuznetsov-Ma soliton dynamics in optical fibre

(2012) B. Kibler et al.   Scientific Reports

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

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

Matter wave solitons in coupled system with external potentials

(2011) Li-Chen Zhao et al.   PHYSICS LETTERS A

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

Velocity-Locked Solitary Waves in Quadratic Media

(2010) Fabio Baronio et al.   PHYSICAL REVIEW LETTERS

A Bilinear Bäcklund Transformation andN-Soliton-Like Solution of Three Coupled Higher-Order Nonlinear Schrödinger Equations with Symbolic Computation

(2008) Zhu Hong-Wu et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Waves that appear from nowhere and disappear without a trace

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

Dark solitons in N-coupled higher order nonlinear Schrödinger equations

(2007) P. Seenuvasakumaran et al.   Communications in Nonlinear Science and Numerical Simulation