Painlevé analysis and higher-order rogue waves of a generalized (3+1)-dimensional shallow water wave equation

Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation

(2021) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

Rogue wave patterns in the nonlinear Schrödinger equation

(2021) Bo Yang et al.   PHYSICA D-NONLINEAR PHENOMENA

On constructing of multiple rogue wave solutions to the (3+1)-dimensional Korteweg–de Vries Benjamin-Bona-Mahony equation

(2021) Yulei Cao et al.   PHYSICA SCRIPTA

Bilinear Bäcklund transformation, kink and breather-wave solutions for a generalized (2+1)-dimensional Hirota–Satsuma–Ito equation in fluid mechanics

(2021) Xin Zhao et al.   European Physical Journal Plus

Different wave structures for the completely generalized Hirota–Satsuma–Ito equation

(2021) Li-Juan Peng   NONLINEAR DYNAMICS

N-soliton solutions and dynamic property analysis of a generalized three-component Hirota–Satsuma coupled KdV equation

(2021) Yong-Li Sun et al.   APPLIED MATHEMATICS LETTERS

Construction of analytical solution for Hirota–Satsuma coupled KdV equation according to time via new approach: Residual power series

(2021) Majeed A. Yousif et al.   AIP Advances

Nonlinear dynamics of higher-order rogue waves in a novel complex nonlinear wave equation

(2020) Zhaqilao   NONLINEAR DYNAMICS

Bell polynomials and lump-type solutions to the Hirota–Satsuma–Ito equation under general and positive quadratic polynomial functions

(2020) Aliyu Isa Aliyu et al.   European Physical Journal Plus

Solitary wave solution for a generalized Hirota-Satsuma coupled KdV and MKdV equations: A semi-analytical approach

(2020) Rajarama Mohan Jena et al.   Alexandria Engineering Journal

An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations

(2020) P. Veeresha et al.   Journal of Computational and Nonlinear Dynamics

Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation

(2020) Hongcai Ma et al.   Advances in Mathematical Physics

Closed-form wave structures of the space-time fractional Hirota–Satsuma coupled KdV equation with nonlinear physical phenomena

(2020) Md Nur Alam et al.   Open Physics

M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirota–Satsuma–Ito equation

(2020) Zhonglong Zhao et al.   APPLIED MATHEMATICS LETTERS

Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction between k ‐lump and k ‐stripe soliton solutions for the generalized KP equation

(2020) Jin Zhao et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Multiple-order line rogue wave solutions of extended Kadomtsev–Petviashvili equation

(2020) Jutong Guo et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Shapes and dynamics of dual-mode Hirota–Satsuma coupled KdV equations: Exact traveling wave solutions and analysis

(2019) Marwan Alquran et al.   CHINESE JOURNAL OF PHYSICS

Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions

(2019) Wen-Xiu Ma   Frontiers of Mathematics in China

Rogue bioelectrical waves in the brain: the Hurst exponent as a potential measure for presurgical mapping in epilepsy

(2019) Caroline Witton et al.   Journal of Neural Engineering

Breather and hybrid solutions for a generalized (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation for the water waves

(2019) Cui-Cui Ding et al.   NONLINEAR DYNAMICS

Multiple lump solutions of the (3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation

(2019) Zhonglong Zhao et al.   APPLIED MATHEMATICS LETTERS

A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equations via the linear superposition principle

(2019) Chun-Ku Kuo et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Controllable symmetry breaking solutions for a nonlocal Boussinesq system

(2019) Jinxi Fei et al.   Scientific Reports

New variable separation solutions and wave interactions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

(2019) Chao-jie Cui et al.   APPLIED MATHEMATICS LETTERS

Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation

(2019) Si-Jia Chen et al.   Communications in Nonlinear Science and Numerical Simulation

A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems

(2018) Zhaqilao   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation

(2018) Min-Jie Dong et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Families of exact solutions of a new extended $$\varvec{(2+1)}$$(2+1)-dimensional Boussinesq equation

(2018) Yulei Cao et al.   NONLINEAR DYNAMICS

Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative

(2018) H. Yépez-Martínez et al.   Waves in Random and Complex Media

Lump solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

(2018) Shou-Ting Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

General High-order Rogue Waves of the (1+1)-Dimensional Yajima–Oikawa System

(2018) Junchao Chen et al.   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN

A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2+1)-Dimensions

(2018) Wen-Xiu Ma et al.   COMPLEXITY

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

(2018) Yongshuai Zhang et al.   NONLINEAR DYNAMICS

Rogue waves and hybrid solutions of the Davey–Stewartson I equation

(2018) Yaobin Liu et al.   NONLINEAR DYNAMICS

The study of lump solution and interaction phenomenon to (2+1)-dimensional potential Kadomstev–Petviashvili equation

(2018) Jianqing Lü et al.   Analysis and Mathematical Physics

Mixed lump–stripe soliton solutions to a dimensionally reduced generalized Jimbo–Miwa equation

(2018) Huiling Wu et al.   APPLIED MATHEMATICS LETTERS

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

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

Emergence and space–time structure of lump solution to the (2 $$+$$ + 1)-dimensional generalized KP equation

(2017) Wei Tan et al.   PRAMANA-JOURNAL OF PHYSICS

Conservation Laws and Integral Relations for the Boussinesq Equation

(2017) A. Ankiewicz et al.   STUDIES IN APPLIED MATHEMATICS

New Exact Solutions for the (3+1)-Dimensional Generalized BKP Equation

(2016) Jun Su et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions

(2014) T. Kanna et al.   PHYSICAL REVIEW E

Multicomponent long-wave–short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons

(2014) K. Sakkaravarthi et al.   PHYSICAL REVIEW E

Rogue waves and their generating mechanisms in different physical contexts

(2013) M. Onorato et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS 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

Wronskian and Grammian solutions to a (3+1)-dimensional generalized KP equation

(2011) Wen-Xiu Ma et al.   APPLIED MATHEMATICS AND COMPUTATION

Rogue waves in superfluid helium

(2010) V.B. Efimov et al.   European Physical Journal-Special Topics

Editorial – Introductory remarks on “Discussion & Debate: Rogue Waves – Towards a Unifying Concept?”

(2010) N. Akhmediev et al.   European Physical Journal-Special Topics

The Peregrine soliton in nonlinear fibre optics

(2010) B. Kibler et al.   Nature Physics

Freak Waves in the Linear Regime: A Microwave Study

(2010) R. Höhmann et al.   PHYSICAL REVIEW LETTERS

Painlevé singularity structure analysis of three component Gross–Pitaevskii type equations

(2009) T. Kanna et al.   JOURNAL OF MATHEMATICAL PHYSICS

Waves that appear from nowhere and disappear without a trace

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